Answer: x = 1
Step-by-step explanation:
1) Reorder the terms:
2(-4 + 3x) + -5 = -7
(-4 * 2 + 3x * 2) + -5 = -7
(-8 + 6x) + -5 = -7
2) Reorder the terms:
-8 + -5 + 6x = -7
3) Combine like terms: -8 + -5 = -13
-13 + 6x = -7
4) Solving
-13 + 6x = -7
5) Solving for variable 'x'.
6) Move all terms containing x to the left, all other terms to the right.
7) Add '13' to each side of the equation.
-13 + 13 + 6x = -7 + 13
8) Combine like terms: -13 + 13 = 0
0 + 6x = -7 + 13
6x = -7 + 13
9) Combine like terms: -7 + 13 = 6
6x = 6
10) Divide each side by '6'.
x = 1
11) Simplifying
x = 1