2x-5(x-4)=-6+3x-22

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Solution for 2x-5(x-4)=-6+3x-22 equation: 


Simplifying
2x + -5(x + -4) = -6 + 3x + -22

Reorder the terms:
2x + -5(-4 + x) = -6 + 3x + -22
2x + (-4 * -5 + x * -5) = -6 + 3x + -22
2x + (20 + -5x) = -6 + 3x + -22

Reorder the terms:
20 + 2x + -5x = -6 + 3x + -22

Combine like terms: 2x + -5x = -3x
20 + -3x = -6 + 3x + -22

Reorder the terms:
20 + -3x = -6 + -22 + 3x

Combine like terms: -6 + -22 = -28
20 + -3x = -28 + 3x

Solving
20 + -3x = -28 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + -3x + -3x = -28 + 3x + -3x

Combine like terms: -3x + -3x = -6x
20 + -6x = -28 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -6x = -28 + 0
20 + -6x = -28

Add '-20' to each side of the equation.
20 + -20 + -6x = -28 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -28 + -20
-6x = -28 + -20

Combine like terms: -28 + -20 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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