4(x+2)-x=2(x-1)+9

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Solution for 4(x+2)-x=2(x-1)+9 equation:


Simplifying
4(x + 2) + -1x = 2(x + -1) + 9

Reorder the terms:
4(2 + x) + -1x = 2(x + -1) + 9
(2 * 4 + x * 4) + -1x = 2(x + -1) + 9
(8 + 4x) + -1x = 2(x + -1) + 9

Combine like terms: 4x + -1x = 3x
8 + 3x = 2(x + -1) + 9

Reorder the terms:
8 + 3x = 2(-1 + x) + 9
8 + 3x = (-1 * 2 + x * 2) + 9
8 + 3x = (-2 + 2x) + 9

Reorder the terms:
8 + 3x = -2 + 9 + 2x

Combine like terms: -2 + 9 = 7
8 + 3x = 7 + 2x

Solving
8 + 3x = 7 + 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.
8 + 3x + -2x = 7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
8 + 1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 1x = 7 + 0
8 + 1x = 7

Add '-8' to each side of the equation.
8 + -8 + 1x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 7 + -8
1x = 7 + -8

Combine like terms: 7 + -8 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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