2x-4(x-3)=-8+5x-22

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Solution for 2x-4(x-3)=-8+5x-22 equation: 


Simplifying
2x + -4(x + -3) = -8 + 5x + -22

Reorder the terms:
2x + -4(-3 + x) = -8 + 5x + -22
2x + (-3 * -4 + x * -4) = -8 + 5x + -22
2x + (12 + -4x) = -8 + 5x + -22

Reorder the terms:
12 + 2x + -4x = -8 + 5x + -22

Combine like terms: 2x + -4x = -2x
12 + -2x = -8 + 5x + -22

Reorder the terms:
12 + -2x = -8 + -22 + 5x

Combine like terms: -8 + -22 = -30
12 + -2x = -30 + 5x

Solving
12 + -2x = -30 + 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.
12 + -2x + -5x = -30 + 5x + -5x

Combine like terms: -2x + -5x = -7x
12 + -7x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -7x = -30 + 0
12 + -7x = -30

Add '-12' to each side of the equation.
12 + -12 + -7x = -30 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -30 + -12
-7x = -30 + -12

Combine like terms: -30 + -12 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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