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

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


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

Reorder the terms:
-7(-6 + 2x) + 5(3x + -1) + -6 = 5 + -6
(-6 * -7 + 2x * -7) + 5(3x + -1) + -6 = 5 + -6
(42 + -14x) + 5(3x + -1) + -6 = 5 + -6

Reorder the terms:
42 + -14x + 5(-1 + 3x) + -6 = 5 + -6
42 + -14x + (-1 * 5 + 3x * 5) + -6 = 5 + -6
42 + -14x + (-5 + 15x) + -6 = 5 + -6

Reorder the terms:
42 + -5 + -6 + -14x + 15x = 5 + -6

Combine like terms: 42 + -5 = 37
37 + -6 + -14x + 15x = 5 + -6

Combine like terms: 37 + -6 = 31
31 + -14x + 15x = 5 + -6

Combine like terms: -14x + 15x = 1x
31 + 1x = 5 + -6

Combine like terms: 5 + -6 = -1
31 + 1x = -1

Solving
31 + 1x = -1

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + -31 + 1x = -1 + -31

Combine like terms: 31 + -31 = 0
0 + 1x = -1 + -31
1x = -1 + -31

Combine like terms: -1 + -31 = -32
1x = -32

Divide each side by '1'.
x = -32

Simplifying
x = -32

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