Question

How many solutions does 2(3x+5) = 2(2x-3)+2x have

Answer 1

Steps to solve:

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

~Distributive Property

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

~Simplify

6x + 10 = 4x + -6 + 2x

~Combine Like Terms

6x + 10 = 6x - 6

Subtract 6x to both sides

6x - 6x + 10 = 6x - 6x - 6

~Simplify

10 ≠ -6

This means that there is no solution.

Best of Luck!

Answer 2

no solutions

Explanation:

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

Distribute

6x+10 = 4x -6 +2x

Combine like terms

6x+10 = 6x-6

Subtract 6x from each side

6x-6x+10 = 6x-6x-6

10 = -6

This is never true so there are no solutions