2x-5(x-1)=6x-8

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Solution for 2x-5(x-1)=6x-8 equation:


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

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

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

Combine like terms: 2x + -5x = -3x
5 + -3x = 6x + -8

Reorder the terms:
5 + -3x = -8 + 6x

Solving
5 + -3x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + -3x + -6x = -8 + 6x + -6x

Combine like terms: -3x + -6x = -9x
5 + -9x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -9x = -8 + 0
5 + -9x = -8

Add '-5' to each side of the equation.
5 + -5 + -9x = -8 + -5

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

Combine like terms: -8 + -5 = -13
-9x = -13

Divide each side by '-9'.
x = 1.444444444

Simplifying
x = 1.444444444

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