4(x)-2(x-2)=-5+4x-7

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Solution for 4(x)-2(x-2)=-5+4x-7 equation:


Simplifying
4(x) + -2(x + -2) = -5 + 4x + -7

Reorder the terms:
4x + -2(-2 + x) = -5 + 4x + -7
4x + (-2 * -2 + x * -2) = -5 + 4x + -7
4x + (4 + -2x) = -5 + 4x + -7

Reorder the terms:
4 + 4x + -2x = -5 + 4x + -7

Combine like terms: 4x + -2x = 2x
4 + 2x = -5 + 4x + -7

Reorder the terms:
4 + 2x = -5 + -7 + 4x

Combine like terms: -5 + -7 = -12
4 + 2x = -12 + 4x

Solving
4 + 2x = -12 + 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.
4 + 2x + -4x = -12 + 4x + -4x

Combine like terms: 2x + -4x = -2x
4 + -2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -2x = -12 + 0
4 + -2x = -12

Add '-4' to each side of the equation.
4 + -4 + -2x = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -12 + -4
-2x = -12 + -4

Combine like terms: -12 + -4 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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