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 = 11
4 + 1x = 11 + 6x + -7x

Combine like terms: 6x + -7x = -1x
4 + 1x = 11 + -1x

Solving
4 + 1x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 1x + x = 11 + -1x + x

Combine like terms: 1x + x = 2x
4 + 2x = 11 + -1x + x

Combine like terms: -1x + x = 0
4 + 2x = 11 + 0
4 + 2x = 11

Add '-4' to each side of the equation.
4 + -4 + 2x = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 11 + -4
2x = 11 + -4

Combine like terms: 11 + -4 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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