12-5(x-2)=2x-26

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Solution for 12-5(x-2)=2x-26 equation:


Simplifying
12 + -5(x + -2) = 2x + -26

Reorder the terms:
12 + -5(-2 + x) = 2x + -26
12 + (-2 * -5 + x * -5) = 2x + -26
12 + (10 + -5x) = 2x + -26

Combine like terms: 12 + 10 = 22
22 + -5x = 2x + -26

Reorder the terms:
22 + -5x = -26 + 2x

Solving
22 + -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.
22 + -5x + -2x = -26 + 2x + -2x

Combine like terms: -5x + -2x = -7x
22 + -7x = -26 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + -7x = -26 + 0
22 + -7x = -26

Add '-22' to each side of the equation.
22 + -22 + -7x = -26 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = -26 + -22
-7x = -26 + -22

Combine like terms: -26 + -22 = -48
-7x = -48

Divide each side by '-7'.
x = 6.857142857

Simplifying
x = 6.857142857

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