2x+5=8+2(x-4)-9-x

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Solution for 2x+5=8+2(x-4)-9-x equation:


Simplifying
2x + 5 = 8 + 2(x + -4) + -9 + -1x

Reorder the terms:
5 + 2x = 8 + 2(x + -4) + -9 + -1x

Reorder the terms:
5 + 2x = 8 + 2(-4 + x) + -9 + -1x
5 + 2x = 8 + (-4 * 2 + x * 2) + -9 + -1x
5 + 2x = 8 + (-8 + 2x) + -9 + -1x

Reorder the terms:
5 + 2x = 8 + -8 + -9 + 2x + -1x

Combine like terms: 8 + -8 = 0
5 + 2x = 0 + -9 + 2x + -1x
5 + 2x = -9 + 2x + -1x

Combine like terms: 2x + -1x = 1x
5 + 2x = -9 + 1x

Solving
5 + 2x = -9 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 2x + -1x = -9 + 1x + -1x

Combine like terms: 2x + -1x = 1x
5 + 1x = -9 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + 1x = -9 + 0
5 + 1x = -9

Add '-5' to each side of the equation.
5 + -5 + 1x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -9 + -5
1x = -9 + -5

Combine like terms: -9 + -5 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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