-2(x-4)=-4x+22

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Solution for -2(x-4)=-4x+22 equation:


Simplifying
-2(x + -4) = -4x + 22

Reorder the terms:
-2(-4 + x) = -4x + 22
(-4 * -2 + x * -2) = -4x + 22
(8 + -2x) = -4x + 22

Reorder the terms:
8 + -2x = 22 + -4x

Solving
8 + -2x = 22 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + -2x + 4x = 22 + -4x + 4x

Combine like terms: -2x + 4x = 2x
8 + 2x = 22 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 2x = 22 + 0
8 + 2x = 22

Add '-8' to each side of the equation.
8 + -8 + 2x = 22 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 22 + -8
2x = 22 + -8

Combine like terms: 22 + -8 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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