Question

What is the solution to the equation

Answer 1

x = 12

Explanation:

5(x - 6) = 2(x + 3)

Distribute

5x - 30 = 2x + 6

Put like terms on each side by subtracting both sides by -2x and adding 30 on each side

3x = 36

Simplify

3x/3 = 36/3

x = 36/3

x = 12

Plug is back in to check

5(12) - 30 = 2(12) + 6

60 - 30 = 24 + 6

30 = 30

Answer 2

x=12

Explanation:

5(x-6) = 2(x+3)

Distribute

5x-30 = 2x+6

Subtract 2x from each side

5x-2x -30 = 2x-2x+6

3x-30 =6

Add 30 to each side

3x-30+30 = 6+30

3x=36

Divide each side by 3

3x/3 = 36/3

x =12