2[2(-x)+1]+(-x)=(-x)+2(-x)+18

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Solution for 2[2(-x)+1]+(-x)=(-x)+2(-x)+18 equation:


Simplifying
2[2(-1x) + 1] + (-1x) = (-1x) + 2(-1x) + 18

Remove parenthesis around (-1x)
2[2 * -1x + 1] + (-1x) = (-1x) + 2(-1x) + 18

Multiply 2 * -1
2[-2x + 1] + (-1x) = (-1x) + 2(-1x) + 18

Reorder the terms:
2[1 + -2x] + (-1x) = (-1x) + 2(-1x) + 18
[1 * 2 + -2x * 2] + (-1x) = (-1x) + 2(-1x) + 18
[2 + -4x] + (-1x) = (-1x) + 2(-1x) + 18

Combine like terms: -4x + (-1x) = -5x
2 + -5x = (-1x) + 2(-1x) + 18

Remove parenthesis around (-1x)
2 + -5x = (-1x) + 2 * -1x + 18

Multiply 2 * -1
2 + -5x = (-1x) + -2x + 18

Reorder the terms:
2 + -5x = 18 + (-1x) + -2x

Combine like terms: (-1x) + -2x = -3x
2 + -5x = 18 + -3x

Solving
2 + -5x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + -5x + 3x = 18 + -3x + 3x

Combine like terms: -5x + 3x = -2x
2 + -2x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + -2x = 18 + 0
2 + -2x = 18

Add '-2' to each side of the equation.
2 + -2 + -2x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 18 + -2
-2x = 18 + -2

Combine like terms: 18 + -2 = 16
-2x = 16

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

Simplifying
x = -8

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