Solve equations with brackets and x on both sides

Question 1

Solve: 3(x + 5) = 5(x − 5) + 28

x = 

Question 2

A rectangle is (x + 1) cm long and 3 cm wide. A square has sides of (x − 2) cm. Their perimeters are equal, so 2(x + 1 + 3) = 4(x − 2). Find x.

x = 

Question 3

Solve: 2(x − 3) = 3x − 10

x = 

Question 4

Solve: 4(x + 2) = 2(x − 4) + 6

x = 

Question 5

A rectangle is (x + 3) cm long and 3 cm wide. A square has sides of (x − 1) cm. Their perimeters are equal, so 2(x + 3 + 3) = 4(x − 1). Find x.

x = 

Question 6

Solve: 2(x − 6) = x − 4

x = 

Question 7

Solve: 5(x − 3) = 3(x + 4) − 31

x = 

Question 8

A rectangle is (x + 3) cm long and 3 cm wide. A square has sides of (x − 1) cm. Their perimeters are equal, so 2(x + 3 + 3) = 4(x − 1). Find x.

x = 

Question 9

Solve: 2(x + 3) = 5x − 6

x = 

Question 10

Solve: 5(x + 2) = 6(x − 5) + 43

x = 

Question 11

A rectangle is (x + 5) cm long and 3 cm wide. A square has sides of (x − 2) cm. Their perimeters are equal, so 2(x + 5 + 3) = 4(x − 2). Find x.

x = 

Question 12

Solve: 2(x + 5) = 3x + 15

x = 

Question 13

Solve: 4(x + 3) = 3(x − 1) + 23

x = 

Question 14

A rectangle is (x + 2) cm long and 3 cm wide. A square has sides of (x − 2) cm. Their perimeters are equal, so 2(x + 2 + 3) = 4(x − 2). Find x.

x = 

Question 15

Solve: 6(x + 2) = 3x + 24

x = 

Question 16

Solve: 2(x + 3) = 3(x − 5) + 26

x =