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

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Solution for 3x-2(x-1)=6x+5 equation:


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

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

Reorder the terms:
2 + 3x + -2x = 6x + 5

Combine like terms: 3x + -2x = 1x
2 + 1x = 6x + 5

Reorder the terms:
2 + 1x = 5 + 6x

Solving
2 + 1x = 5 + 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 + 1x + -6x = 5 + 6x + -6x

Combine like terms: 1x + -6x = -5x
2 + -5x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -5x = 5 + 0
2 + -5x = 5

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

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

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

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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