-5(x-8)=-30+6x-40

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Solution for -5(x-8)=-30+6x-40 equation:


Simplifying
-5(x + -8) = -30 + 6x + -40

Reorder the terms:
-5(-8 + x) = -30 + 6x + -40
(-8 * -5 + x * -5) = -30 + 6x + -40
(40 + -5x) = -30 + 6x + -40

Reorder the terms:
40 + -5x = -30 + -40 + 6x

Combine like terms: -30 + -40 = -70
40 + -5x = -70 + 6x

Solving
40 + -5x = -70 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
40 + -5x + -6x = -70 + 6x + -6x

Combine like terms: -5x + -6x = -11x
40 + -11x = -70 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + -11x = -70 + 0
40 + -11x = -70

Add '-40' to each side of the equation.
40 + -40 + -11x = -70 + -40

Combine like terms: 40 + -40 = 0
0 + -11x = -70 + -40
-11x = -70 + -40

Combine like terms: -70 + -40 = -110
-11x = -110

Divide each side by '-11'.
x = 10

Simplifying
x = 10

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