2x-4(x-2)=-7+4x-15

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Solution for 2x-4(x-2)=-7+4x-15 equation: 


Simplifying
2x + -4(x + -2) = -7 + 4x + -15

Reorder the terms:
2x + -4(-2 + x) = -7 + 4x + -15
2x + (-2 * -4 + x * -4) = -7 + 4x + -15
2x + (8 + -4x) = -7 + 4x + -15

Reorder the terms:
8 + 2x + -4x = -7 + 4x + -15

Combine like terms: 2x + -4x = -2x
8 + -2x = -7 + 4x + -15

Reorder the terms:
8 + -2x = -7 + -15 + 4x

Combine like terms: -7 + -15 = -22
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 = -6x
8 + -6x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -6x = -22 + 0
8 + -6x = -22

Add '-8' to each side of the equation.
8 + -8 + -6x = -22 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -22 + -8
-6x = -22 + -8

Combine like terms: -22 + -8 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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