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

Distribute (multiply) : 5x + 10 = 3x + 5; subtract 5 from both sides

5x + 5 = 3x; subtract 5x from both sides

5 = - 2x; divide both sides by - 2

-2.5 = x

Substitute to make sure it's right. 5 (-2.5 + 2) = 3 (-2.5) + 5

5 (-0.5) = - 7.5 + 5

-2.5 = - 2.5

x = - 2.5

Step-by-step explanation:

5 (x+2) = 3x + 5

Distribute the 5 on the left side

5x + 10 = 3x + 5

Subtract 3x from both sides

2x + 10 = 5

Subtract 10 from both sides

2x = - 5

Divide by 2, in order to isolate x

x = - 2.5