-8(x+-5)=22(x+-5)+540

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Solution for -8(x+-5)=22(x+-5)+540 equation: 


Simplifying
-8(x + -5) = 22(x + -5) + 540

Reorder the terms:
-8(-5 + x) = 22(x + -5) + 540
(-5 * -8 + x * -8) = 22(x + -5) + 540
(40 + -8x) = 22(x + -5) + 540

Reorder the terms:
40 + -8x = 22(-5 + x) + 540
40 + -8x = (-5 * 22 + x * 22) + 540
40 + -8x = (-110 + 22x) + 540

Reorder the terms:
40 + -8x = -110 + 540 + 22x

Combine like terms: -110 + 540 = 430
40 + -8x = 430 + 22x

Solving
40 + -8x = 430 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
40 + -8x + -22x = 430 + 22x + -22x

Combine like terms: -8x + -22x = -30x
40 + -30x = 430 + 22x + -22x

Combine like terms: 22x + -22x = 0
40 + -30x = 430 + 0
40 + -30x = 430

Add '-40' to each side of the equation.
40 + -40 + -30x = 430 + -40

Combine like terms: 40 + -40 = 0
0 + -30x = 430 + -40
-30x = 430 + -40

Combine like terms: 430 + -40 = 390
-30x = 390

Divide each side by '-30'.
x = -13

Simplifying
x = -13

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