3x-(x-8)=5x+-6(2-x)

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Solution for 3x-(x-8)=5x+-6(2-x) equation:


Simplifying
3x + -1(x + -8) = 5x + -6(2 + -1x)

Reorder the terms:
3x + -1(-8 + x) = 5x + -6(2 + -1x)
3x + (-8 * -1 + x * -1) = 5x + -6(2 + -1x)
3x + (8 + -1x) = 5x + -6(2 + -1x)

Reorder the terms:
8 + 3x + -1x = 5x + -6(2 + -1x)

Combine like terms: 3x + -1x = 2x
8 + 2x = 5x + -6(2 + -1x)
8 + 2x = 5x + (2 * -6 + -1x * -6)
8 + 2x = 5x + (-12 + 6x)

Reorder the terms:
8 + 2x = -12 + 5x + 6x

Combine like terms: 5x + 6x = 11x
8 + 2x = -12 + 11x

Solving
8 + 2x = -12 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
8 + 2x + -11x = -12 + 11x + -11x

Combine like terms: 2x + -11x = -9x
8 + -9x = -12 + 11x + -11x

Combine like terms: 11x + -11x = 0
8 + -9x = -12 + 0
8 + -9x = -12

Add '-8' to each side of the equation.
8 + -8 + -9x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = -12 + -8
-9x = -12 + -8

Combine like terms: -12 + -8 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222

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