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

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Solution for 3x-(x-2)=8+6(x-1) equation:


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

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 2 + -2 + 6x

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

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

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

Combine like terms: 2x + -6x = -4x
-4x = 6x + -6x

Combine like terms: 6x + -6x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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