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

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


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

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

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

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

Reorder the terms:
2 + 3x = -8 + 6x

Solving
2 + 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.
2 + 3x + -6x = -8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + -3x = -8 + 0
2 + -3x = -8

Add '-2' to each side of the equation.
2 + -2 + -3x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -8 + -2
-3x = -8 + -2

Combine like terms: -8 + -2 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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