Question

How many solutions does 2(2x-10)-8=-2(14-3x)

Answer 1

`2(2x-10)-8=-2(14-3x) \\ \\ 4x - 20 - 8 = -28 + 6x \ / \ expand \\ \\ 4x - 28 = -28 + 6x \ / \ simplify \\ \\ 4x - 28 = 6x - 28 \ / \ regroup \ the \ terms \\ \\ 4x = -6x\ / \ cancel \ -28 \ out \\ \\ 4x - 6x = 0 \ / \ move \ terms \ to \ one \ side \\ \\ -2x = 0 \ / \ simplify \\ \\ x = 0 \ / \ divide \ each \ side \ by \ -2 \\ \\`

So, you're answer to this problem is one solution (x = 0).

Answer 2

If you would like to solve the equation 2 * (2 * x - 10) - 8 = - 2 * (14 - 3 * x), you can calculate this using the following steps:

2 * (2 * x - 10) - 8 = - 2 * (14 - 3 * x)
2 * 2 * x - 2 * 10 - 8 = - 2 * 14 + 2 * 3 * x
4 * x - 20 - 8 = - 28 + 6 * x
4 * x - 6 * x = - 28 + 20 + 8
- 2 * x = 0
x = 0

The correct result would be 1 solution: x = 0.