4(x+2)=-3(-2x-4)+x

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


Simplifying
4(x + 2) = -3(-2x + -4) + x

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

Reorder the terms:
8 + 4x = -3(-4 + -2x) + x
8 + 4x = (-4 * -3 + -2x * -3) + x
8 + 4x = (12 + 6x) + x

Combine like terms: 6x + x = 7x
8 + 4x = 12 + 7x

Solving
8 + 4x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 4x + -7x = 12 + 7x + -7x

Combine like terms: 4x + -7x = -3x
8 + -3x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -3x = 12 + 0
8 + -3x = 12

Add '-8' to each side of the equation.
8 + -8 + -3x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 12 + -8
-3x = 12 + -8

Combine like terms: 12 + -8 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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