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

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


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

Reorder the terms:
-2(-3 + 7x) + 3(5x + -6) + -8 = 7 + -2
(-3 * -2 + 7x * -2) + 3(5x + -6) + -8 = 7 + -2
(6 + -14x) + 3(5x + -6) + -8 = 7 + -2

Reorder the terms:
6 + -14x + 3(-6 + 5x) + -8 = 7 + -2
6 + -14x + (-6 * 3 + 5x * 3) + -8 = 7 + -2
6 + -14x + (-18 + 15x) + -8 = 7 + -2

Reorder the terms:
6 + -18 + -8 + -14x + 15x = 7 + -2

Combine like terms: 6 + -18 = -12
-12 + -8 + -14x + 15x = 7 + -2

Combine like terms: -12 + -8 = -20
-20 + -14x + 15x = 7 + -2

Combine like terms: -14x + 15x = 1x
-20 + 1x = 7 + -2

Combine like terms: 7 + -2 = 5
-20 + 1x = 5

Solving
-20 + 1x = 5

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 1x = 5 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 5 + 20
1x = 5 + 20

Combine like terms: 5 + 20 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25

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