-2(x-3)=5x-22

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Solution for -2(x-3)=5x-22 equation:


Simplifying
-2(x + -3) = 5x + -22

Reorder the terms:
-2(-3 + x) = 5x + -22
(-3 * -2 + x * -2) = 5x + -22
(6 + -2x) = 5x + -22

Reorder the terms:
6 + -2x = -22 + 5x

Solving
6 + -2x = -22 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -2x + -5x = -22 + 5x + -5x

Combine like terms: -2x + -5x = -7x
6 + -7x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -7x = -22 + 0
6 + -7x = -22

Add '-6' to each side of the equation.
6 + -6 + -7x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -22 + -6
-7x = -22 + -6

Combine like terms: -22 + -6 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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