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

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


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

Reorder the terms:
-5(-8 + x) + 2 = -7(2x + -6)
(-8 * -5 + x * -5) + 2 = -7(2x + -6)
(40 + -5x) + 2 = -7(2x + -6)

Reorder the terms:
40 + 2 + -5x = -7(2x + -6)

Combine like terms: 40 + 2 = 42
42 + -5x = -7(2x + -6)

Reorder the terms:
42 + -5x = -7(-6 + 2x)
42 + -5x = (-6 * -7 + 2x * -7)
42 + -5x = (42 + -14x)

Add '-42' to each side of the equation.
42 + -42 + -5x = 42 + -42 + -14x

Combine like terms: 42 + -42 = 0
0 + -5x = 42 + -42 + -14x
-5x = 42 + -42 + -14x

Combine like terms: 42 + -42 = 0
-5x = 0 + -14x
-5x = -14x

Solving
-5x = -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.
-5x + 14x = -14x + 14x

Combine like terms: -5x + 14x = 9x
9x = -14x + 14x

Combine like terms: -14x + 14x = 0
9x = 0

Divide each side by '9'.
x = 0

Simplifying
x = 0

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