-7(2x-4)+5(3x-2)-5=6-5

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Solution for -7(2x-4)+5(3x-2)-5=6-5 equation: 


Simplifying
-7(2x + -4) + 5(3x + -2) + -5 = 6 + -5

Reorder the terms:
-7(-4 + 2x) + 5(3x + -2) + -5 = 6 + -5
(-4 * -7 + 2x * -7) + 5(3x + -2) + -5 = 6 + -5
(28 + -14x) + 5(3x + -2) + -5 = 6 + -5

Reorder the terms:
28 + -14x + 5(-2 + 3x) + -5 = 6 + -5
28 + -14x + (-2 * 5 + 3x * 5) + -5 = 6 + -5
28 + -14x + (-10 + 15x) + -5 = 6 + -5

Reorder the terms:
28 + -10 + -5 + -14x + 15x = 6 + -5

Combine like terms: 28 + -10 = 18
18 + -5 + -14x + 15x = 6 + -5

Combine like terms: 18 + -5 = 13
13 + -14x + 15x = 6 + -5

Combine like terms: -14x + 15x = 1x
13 + 1x = 6 + -5

Combine like terms: 6 + -5 = 1
13 + 1x = 1

Solving
13 + 1x = 1

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 1x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 1 + -13
1x = 1 + -13

Combine like terms: 1 + -13 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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