5(x+8)=2x-26

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Solution for 5(x+8)=2x-26 equation:


Simplifying
5(x + 8) = 2x + -26

Reorder the terms:
5(8 + x) = 2x + -26
(8 * 5 + x * 5) = 2x + -26
(40 + 5x) = 2x + -26

Reorder the terms:
40 + 5x = -26 + 2x

Solving
40 + 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.
40 + 5x + -2x = -26 + 2x + -2x

Combine like terms: 5x + -2x = 3x
40 + 3x = -26 + 2x + -2x

Combine like terms: 2x + -2x = 0
40 + 3x = -26 + 0
40 + 3x = -26

Add '-40' to each side of the equation.
40 + -40 + 3x = -26 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = -26 + -40
3x = -26 + -40

Combine like terms: -26 + -40 = -66
3x = -66

Divide each side by '3'.
x = -22

Simplifying
x = -22

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