5x-6=-6(x+4)-26

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Solution for 5x-6=-6(x+4)-26 equation:


Simplifying
5x + -6 = -6(x + 4) + -26

Reorder the terms:
-6 + 5x = -6(x + 4) + -26

Reorder the terms:
-6 + 5x = -6(4 + x) + -26
-6 + 5x = (4 * -6 + x * -6) + -26
-6 + 5x = (-24 + -6x) + -26

Reorder the terms:
-6 + 5x = -24 + -26 + -6x

Combine like terms: -24 + -26 = -50
-6 + 5x = -50 + -6x

Solving
-6 + 5x = -50 + -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.
-6 + 5x + 6x = -50 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-6 + 11x = -50 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 11x = -50 + 0
-6 + 11x = -50

Add '6' to each side of the equation.
-6 + 6 + 11x = -50 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = -50 + 6
11x = -50 + 6

Combine like terms: -50 + 6 = -44
11x = -44

Divide each side by '11'.
x = -4

Simplifying
x = -4

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