(3x-1)5-7(x+2)6+8=5

Solution for (3x-1)5-7(x+2)6+8=5 equation:

Simplifying
(3x + -1) * 5 + -7(x + 2) * 6 + 8 = 5

Reorder the terms:
(-1 + 3x) * 5 + -7(x + 2) * 6 + 8 = 5

Reorder the terms for easier multiplication:
5(-1 + 3x) + -7(x + 2) * 6 + 8 = 5
(-1 * 5 + 3x * 5) + -7(x + 2) * 6 + 8 = 5
(-5 + 15x) + -7(x + 2) * 6 + 8 = 5

Reorder the terms:
-5 + 15x + -7(2 + x) * 6 + 8 = 5

Reorder the terms for easier multiplication:
-5 + 15x + -7 * 6(2 + x) + 8 = 5

Multiply -7 * 6
-5 + 15x + -42(2 + x) + 8 = 5
-5 + 15x + (2 * -42 + x * -42) + 8 = 5
-5 + 15x + (-84 + -42x) + 8 = 5

Reorder the terms:
-5 + -84 + 8 + 15x + -42x = 5

Combine like terms: -5 + -84 = -89
-89 + 8 + 15x + -42x = 5

Combine like terms: -89 + 8 = -81
-81 + 15x + -42x = 5

Combine like terms: 15x + -42x = -27x
-81 + -27x = 5

Solving
-81 + -27x = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '81' to each side of the equation.
-81 + 81 + -27x = 5 + 81

Combine like terms: -81 + 81 = 0
0 + -27x = 5 + 81
-27x = 5 + 81

Combine like terms: 5 + 81 = 86
-27x = 86

Divide each side by '-27'.
x = -3.185185185

Simplifying
x = -3.185185185