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

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


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

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

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

Combine like terms: 4 + 4 = 8
8 + 2x = 4x + -2(-3x + x)

Combine like terms: -3x + x = -2x
8 + 2x = 4x + -2(-2x)

Remove parenthesis around (-2x)
8 + 2x = 4x + -2 * -2x

Multiply -2 * -2
8 + 2x = 4x + 4x

Combine like terms: 4x + 4x = 8x
8 + 2x = 8x

Solving
8 + 2x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
8 + 2x + -8x = 8x + -8x

Combine like terms: 2x + -8x = -6x
8 + -6x = 8x + -8x

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

Add '-8' to each side of the equation.
8 + -8 + -6x = 0 + -8

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

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

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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