# Algebra - Solving Equations With Unknowns On Both Sides

a - answer    s - solution    v - video    d - discussion

## Question 1

Solve, finding the value of $x$

a) $2x=x+4$a s v d
b) $6x=x+10$a s v d
c) $4x=3x+19$a s v d
d) $12x=5x+35$a s v d
e) $7x=2x-10$a s v d
f) $21x=11x-40$a s v d
g) $2x+4=6x$a s v d
h) $x+16=9x$a s v d
i) $44x-26=57x$a s v d
j) $11x-3=17x$a s v d
k) $4x-4=2x$a s v d
l) $5x-10=4x$a s v d
m) $3x-14=x$a s v d
n) $7x-16=3x$a s v d
o) $9x+15=6x$a s v d
p) $4x=20+6x$a s v d
q) $33x=40x+21$a s v d
r) $16x=2x+7$a s v d
s) $32+36x=132x$a s v d
t) $3x-16=12x$a s v d

## Question 2

Solve, finding the value of $x$

a) $2x+3=x+4$a s v d
b) $5x+12=4x+14$a s v d
c) $5x+20=6x+10$a s v d
d) $7x+12=6x+10$a s v d
e) $3x+9=4x+15$a s v d
f) $5x+4=3x+10$a s v d
g) $8x+5=5x+11$a s v d
h) $13x+31=18x+1$a s v d
i) $7+5x=15x+27$a s v d
j) $5+12x=21+20x$a s v d

## Question 3

Solve, finding the value of $x$

a) $x+1=2x-6$a s v d
b) $3x+6=7x-18$a s v d
c) $5x-6=3x-2$a s v d
d) $14x-6=18x-6$a s v d
e) $17x-35=22x-10$a s v d
f) $20-x=x+6$a s v d
g) $15-2x=4x-9$a s v d
h) $20-4x=5+x$a s v d
i) $2-x=4-3x$a s v d
j) $5-10x=21-2x$a s v d

## Question 4

Solve, finding the value of $x$

a) $2(x+3)=x+10$a s v d
b) $3(x+4)=2x+15$a s v d
c) $5(x+1)=3x+15$a s v d
d) $8(x+3)=10x+20$a s v d
e) $4(x+7)=22+10x$a s v d
f) $6x+3=3(x+10)$a s v d
g) $5x-3=4(x+3)$a s v d
h) $5(x-1)=3x-5$a s v d
i) $8(x-2)=3x-1$a s v d
j) $3(x-6)=6-5x$a s v d
k) $4(5-x)=10+x$a s v d
l) $3(8-x)=3-10x$a s v d

## Question 5

Solve, finding the value of $x$

a) $2(2x+5)=3x+16$a s v d
b) $5(3x+4)=13x+30$a s v d
c) $7(4x+3)=20x+45$a s v d
d) $3(4x-1)=15x+6$a s v d
e) $6(3x-4)=9x+3$a s v d
f) $10(4x-6)=51x-5$a s v d

## Question 6

Solve, finding the value of $x$

a) $2(x+2)=3(x+1)$a s v d
b) $3(x+3)=2(x+7)$a s v d
c) $4(x+3)=5(x+1)$a s v d
d) $6(x+6)=9(x+3)$a s v d
e) $5(x+2)=25(x-6)$a s v d
f) $4(x+8)=6(x+5)$a s v d
g) $3(x-2)=5(x-4)$a s v d
h) $6(x-5)=2(x+5)$a s v d
i) $4(4-x)=6(x+1)$a s v d
j) $20(x-1)=5(x+8)$a s v d

## Question 7

Solve, finding the value of $x$

a) $3(2x+1)=5(x+4)$a s v d
b) $2(2x+4)=10(x-1)$a s v d
c) $2(3x+1)=4(2x-3)$a s v d
d) $5(2x+3)=9(3x-4)$a s v d
e) $3(4x+5)=25(2x-7)$a s v d
f) $4(3x-1)=10(4-x)$a s v d
g) $3(5x-10)=15(16-2x)$a s v d
h) $7(10-2x)=6(15-4x)$a s v d

## Question 8

Solve, finding the value of $x$. Leave answers as mixed numbers where necessary.

a) $2x+3=4x+2$a s v d
b) $6x+8=6+12x$a s v d
c) $9-x=3x+3$a s v d
d) $4-5x=10x-29$a s v d
e) $2(x+1)=3x+5$a s v d
f) $3(x+6)=4-x$a s v d
g) $4+5x=3(4-2x)$a s v d
h) $2(x+1)=3(x+6)$a s v d
i) $4(2x+1)=3(x-1)$a s v d
j) $4(4-3x)=5(3x-7)$a s v d

## Question 9

Solve, finding the value of $x$. Leave answers as mixed numbers where necessary.

a) $3(x+1)-2(x+2)=0$a s v d
b) $2(2x+2)=7(x-2)$a s v d
c) $5(x+6)-2(3x-1)=0$a s v d
d) $2(x+2)-3(x+6)=0$a s v d
e) $4(2x+1)-5(x-7)=0$a s v d
f) $5(x+1)+3(x-3)=0$a s v d
g) $3(2x-1)+4(5x-6)=0$a s v d
h) $3(x+2)+4(x-1)=0$a s v d
i) $3(3x+7)-3(x+2)=0$a s v d
j) $4(7-4x)+3(4x-1)=0$a s v d

## Question 10

Solve, finding the value of $x$. Leave answers as mixed numbers where necessary.

a) $3(x+4)-2(x+3)=2$a s v d
b) $6(2x-1)+2(x+1)=5$a s v d
c) $7(3-2x)-4(2x+18)=5x$a s v d
d) $4(3-x)+3(2x+9)=4(x+1)$a s v d
e) $7(5-2x)-2(3x-1)=4(x+1)+29$a s v d
f) $5(4-3x)+2=4(2x+1)-3(x+1)$a s v d
g) $4(2x-1)-3(4-x)=5(x+1)-2(3x-5)$a s v d
h) $3(4-3x)-6(7-2x)=22(2x+1)-(4-x)$a s v d

## Question 11

Solve, finding the value of $x$. Leave answers as mixed numbers where necessary.

a) $\frac12(4x+6)=3x+2$a s v d
b) $\frac23(3x+12)=\frac14(12x+20)$a s v d
c) $\frac13(x+6)=\frac12(x+3)$a s v d
d) $\frac15(2x+1)=\frac13(x+4)$a s v d
e) $\frac13(x+6)=3x+4$a s v d
f) $\frac23(5-2x)=\frac15(4x+1)$a s v d