-2(5x-1)-5(2x+7)=-7(2x-12)

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Solution for -2(5x-1)-5(2x+7)=-7(2x-12) equation:


Simplifying
-2(5x + -1) + -5(2x + 7) = -7(2x + -12)

Reorder the terms:
-2(-1 + 5x) + -5(2x + 7) = -7(2x + -12)
(-1 * -2 + 5x * -2) + -5(2x + 7) = -7(2x + -12)
(2 + -10x) + -5(2x + 7) = -7(2x + -12)

Reorder the terms:
2 + -10x + -5(7 + 2x) = -7(2x + -12)
2 + -10x + (7 * -5 + 2x * -5) = -7(2x + -12)
2 + -10x + (-35 + -10x) = -7(2x + -12)

Reorder the terms:
2 + -35 + -10x + -10x = -7(2x + -12)

Combine like terms: 2 + -35 = -33
-33 + -10x + -10x = -7(2x + -12)

Combine like terms: -10x + -10x = -20x
-33 + -20x = -7(2x + -12)

Reorder the terms:
-33 + -20x = -7(-12 + 2x)
-33 + -20x = (-12 * -7 + 2x * -7)
-33 + -20x = (84 + -14x)

Solving
-33 + -20x = 84 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-33 + -20x + 14x = 84 + -14x + 14x

Combine like terms: -20x + 14x = -6x
-33 + -6x = 84 + -14x + 14x

Combine like terms: -14x + 14x = 0
-33 + -6x = 84 + 0
-33 + -6x = 84

Add '33' to each side of the equation.
-33 + 33 + -6x = 84 + 33

Combine like terms: -33 + 33 = 0
0 + -6x = 84 + 33
-6x = 84 + 33

Combine like terms: 84 + 33 = 117
-6x = 117

Divide each side by '-6'.
x = -19.5

Simplifying
x = -19.5

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