2+4x=2(-x+2)-32

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Solution for 2+4x=2(-x+2)-32 equation:


Simplifying
2 + 4x = 2(-1x + 2) + -32

Reorder the terms:
2 + 4x = 2(2 + -1x) + -32
2 + 4x = (2 * 2 + -1x * 2) + -32
2 + 4x = (4 + -2x) + -32

Reorder the terms:
2 + 4x = 4 + -32 + -2x

Combine like terms: 4 + -32 = -28
2 + 4x = -28 + -2x

Solving
2 + 4x = -28 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + 4x + 2x = -28 + -2x + 2x

Combine like terms: 4x + 2x = 6x
2 + 6x = -28 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 6x = -28 + 0
2 + 6x = -28

Add '-2' to each side of the equation.
2 + -2 + 6x = -28 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = -28 + -2
6x = -28 + -2

Combine like terms: -28 + -2 = -30
6x = -30

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

Simplifying
x = -5

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