-5(x-6)=2x-26

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Solution for -5(x-6)=2x-26 equation:


Simplifying
-5(x + -6) = 2x + -26

Reorder the terms:
-5(-6 + x) = 2x + -26
(-6 * -5 + x * -5) = 2x + -26
(30 + -5x) = 2x + -26

Reorder the terms:
30 + -5x = -26 + 2x

Solving
30 + -5x = -26 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + -5x + -2x = -26 + 2x + -2x

Combine like terms: -5x + -2x = -7x
30 + -7x = -26 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + -7x = -26 + 0
30 + -7x = -26

Add '-30' to each side of the equation.
30 + -30 + -7x = -26 + -30

Combine like terms: 30 + -30 = 0
0 + -7x = -26 + -30
-7x = -26 + -30

Combine like terms: -26 + -30 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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