-2(7x-2)+3(5x-6)-2=2-9

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Solution for -2(7x-2)+3(5x-6)-2=2-9 equation: 


Simplifying
-2(7x + -2) + 3(5x + -6) + -2 = 2 + -9

Reorder the terms:
-2(-2 + 7x) + 3(5x + -6) + -2 = 2 + -9
(-2 * -2 + 7x * -2) + 3(5x + -6) + -2 = 2 + -9
(4 + -14x) + 3(5x + -6) + -2 = 2 + -9

Reorder the terms:
4 + -14x + 3(-6 + 5x) + -2 = 2 + -9
4 + -14x + (-6 * 3 + 5x * 3) + -2 = 2 + -9
4 + -14x + (-18 + 15x) + -2 = 2 + -9

Reorder the terms:
4 + -18 + -2 + -14x + 15x = 2 + -9

Combine like terms: 4 + -18 = -14
-14 + -2 + -14x + 15x = 2 + -9

Combine like terms: -14 + -2 = -16
-16 + -14x + 15x = 2 + -9

Combine like terms: -14x + 15x = 1x
-16 + 1x = 2 + -9

Combine like terms: 2 + -9 = -7
-16 + 1x = -7

Solving
-16 + 1x = -7

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 1x = -7 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = -7 + 16
1x = -7 + 16

Combine like terms: -7 + 16 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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