2x-(x-2)=10+6(x-1)

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Solution for 2x-(x-2)=10+6(x-1) equation: 


Simplifying
2x + -1(x + -2) = 10 + 6(x + -1)

Reorder the terms:
2x + -1(-2 + x) = 10 + 6(x + -1)
2x + (-2 * -1 + x * -1) = 10 + 6(x + -1)
2x + (2 + -1x) = 10 + 6(x + -1)

Reorder the terms:
2 + 2x + -1x = 10 + 6(x + -1)

Combine like terms: 2x + -1x = 1x
2 + 1x = 10 + 6(x + -1)

Reorder the terms:
2 + 1x = 10 + 6(-1 + x)
2 + 1x = 10 + (-1 * 6 + x * 6)
2 + 1x = 10 + (-6 + 6x)

Combine like terms: 10 + -6 = 4
2 + 1x = 4 + 6x

Solving
2 + 1x = 4 + 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 = 4 + 6x + -6x

Combine like terms: 1x + -6x = -5x
2 + -5x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -5x = 4 + 0
2 + -5x = 4

Add '-2' to each side of the equation.
2 + -2 + -5x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 4 + -2
-5x = 4 + -2

Combine like terms: 4 + -2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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