-5(x-2)=-2x+22

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Solution for -5(x-2)=-2x+22 equation:


Simplifying
-5(x + -2) = -2x + 22

Reorder the terms:
-5(-2 + x) = -2x + 22
(-2 * -5 + x * -5) = -2x + 22
(10 + -5x) = -2x + 22

Reorder the terms:
10 + -5x = 22 + -2x

Solving
10 + -5x = 22 + -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.
10 + -5x + 2x = 22 + -2x + 2x

Combine like terms: -5x + 2x = -3x
10 + -3x = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + -3x = 22 + 0
10 + -3x = 22

Add '-10' to each side of the equation.
10 + -10 + -3x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 22 + -10
-3x = 22 + -10

Combine like terms: 22 + -10 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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