7-8x+9x-2=5x+2-x

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Solution for 7-8x+9x-2=5x+2-x equation:


Simplifying
7 + -8x + 9x + -2 = 5x + 2 + -1x

Reorder the terms:
7 + -2 + -8x + 9x = 5x + 2 + -1x

Combine like terms: 7 + -2 = 5
5 + -8x + 9x = 5x + 2 + -1x

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

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

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

Solving
5 + 1x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 1x + -4x = 2 + 4x + -4x

Combine like terms: 1x + -4x = -3x
5 + -3x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -3x = 2 + 0
5 + -3x = 2

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

Combine like terms: 5 + -5 = 0
0 + -3x = 2 + -5
-3x = 2 + -5

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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