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

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


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

Reorder the terms:
8 + -5(-2 + x) = 2x + 26
8 + (-2 * -5 + x * -5) = 2x + 26
8 + (10 + -5x) = 2x + 26

Combine like terms: 8 + 10 = 18
18 + -5x = 2x + 26

Reorder the terms:
18 + -5x = 26 + 2x

Solving
18 + -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.
18 + -5x + -2x = 26 + 2x + -2x

Combine like terms: -5x + -2x = -7x
18 + -7x = 26 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -7x = 26 + 0
18 + -7x = 26

Add '-18' to each side of the equation.
18 + -18 + -7x = 26 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = 26 + -18
-7x = 26 + -18

Combine like terms: 26 + -18 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

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