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

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


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

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

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

Combine like terms: 4x + -1x = 3x
2 + 3x = -9 + 5x + -8

Reorder the terms:
2 + 3x = -9 + -8 + 5x

Combine like terms: -9 + -8 = -17
2 + 3x = -17 + 5x

Solving
2 + 3x = -17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 3x + -5x = -17 + 5x + -5x

Combine like terms: 3x + -5x = -2x
2 + -2x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -2x = -17 + 0
2 + -2x = -17

Add '-2' to each side of the equation.
2 + -2 + -2x = -17 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -17 + -2
-2x = -17 + -2

Combine like terms: -17 + -2 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5

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