-5(2x-7)-x=-8(9x-4)

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Solution for -5(2x-7)-x=-8(9x-4) equation:


Simplifying
-5(2x + -7) + -1x = -8(9x + -4)

Reorder the terms:
-5(-7 + 2x) + -1x = -8(9x + -4)
(-7 * -5 + 2x * -5) + -1x = -8(9x + -4)
(35 + -10x) + -1x = -8(9x + -4)

Combine like terms: -10x + -1x = -11x
35 + -11x = -8(9x + -4)

Reorder the terms:
35 + -11x = -8(-4 + 9x)
35 + -11x = (-4 * -8 + 9x * -8)
35 + -11x = (32 + -72x)

Solving
35 + -11x = 32 + -72x

Solving for variable 'x'.

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

Add '72x' to each side of the equation.
35 + -11x + 72x = 32 + -72x + 72x

Combine like terms: -11x + 72x = 61x
35 + 61x = 32 + -72x + 72x

Combine like terms: -72x + 72x = 0
35 + 61x = 32 + 0
35 + 61x = 32

Add '-35' to each side of the equation.
35 + -35 + 61x = 32 + -35

Combine like terms: 35 + -35 = 0
0 + 61x = 32 + -35
61x = 32 + -35

Combine like terms: 32 + -35 = -3
61x = -3

Divide each side by '61'.
x = -0.04918032787

Simplifying
x = -0.04918032787

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