Question

Twenty increased by 5 times the sum of a number and 2 is the same as 6 decreased by 3 times the number

Answer 1

20 + 5(x + 2) = 6 - 3x

Distributive property.

30 + 5x + 10 = 6 - 3x

Add 3x to both sides.

30 + 8x + 10 = 6

Simplify left side.

40 + 8x = 6

Subtract 40 from both sides.

8x = -36

Divide both sides by 8.

x = -4.5 (This is your answer.)