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

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


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

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

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

Reorder the terms:
14 + -15 + -2 + -14x + 15x = 6 + -2

Combine like terms: 14 + -15 = -1
-1 + -2 + -14x + 15x = 6 + -2

Combine like terms: -1 + -2 = -3
-3 + -14x + 15x = 6 + -2

Combine like terms: -14x + 15x = 1x
-3 + 1x = 6 + -2

Combine like terms: 6 + -2 = 4
-3 + 1x = 4

Solving
-3 + 1x = 4

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 1x = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 4 + 3
1x = 4 + 3

Combine like terms: 4 + 3 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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