2(x+2)-x=-2(3x+2)-7(x-1)

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Solution for 2(x+2)-x=-2(3x+2)-7(x-1) equation:


Simplifying
2(x + 2) + -1x = -2(3x + 2) + -7(x + -1)

Reorder the terms:
2(2 + x) + -1x = -2(3x + 2) + -7(x + -1)
(2 * 2 + x * 2) + -1x = -2(3x + 2) + -7(x + -1)
(4 + 2x) + -1x = -2(3x + 2) + -7(x + -1)

Combine like terms: 2x + -1x = 1x
4 + 1x = -2(3x + 2) + -7(x + -1)

Reorder the terms:
4 + 1x = -2(2 + 3x) + -7(x + -1)
4 + 1x = (2 * -2 + 3x * -2) + -7(x + -1)
4 + 1x = (-4 + -6x) + -7(x + -1)

Reorder the terms:
4 + 1x = -4 + -6x + -7(-1 + x)
4 + 1x = -4 + -6x + (-1 * -7 + x * -7)
4 + 1x = -4 + -6x + (7 + -7x)

Reorder the terms:
4 + 1x = -4 + 7 + -6x + -7x

Combine like terms: -4 + 7 = 3
4 + 1x = 3 + -6x + -7x

Combine like terms: -6x + -7x = -13x
4 + 1x = 3 + -13x

Solving
4 + 1x = 3 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
4 + 1x + 13x = 3 + -13x + 13x

Combine like terms: 1x + 13x = 14x
4 + 14x = 3 + -13x + 13x

Combine like terms: -13x + 13x = 0
4 + 14x = 3 + 0
4 + 14x = 3

Add '-4' to each side of the equation.
4 + -4 + 14x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 14x = 3 + -4
14x = 3 + -4

Combine like terms: 3 + -4 = -1
14x = -1

Divide each side by '14'.
x = -0.07142857143

Simplifying
x = -0.07142857143

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