7x+(-3x)+8=x-2(x-1)

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Solution for 7x+(-3x)+8=x-2(x-1) equation: 


Simplifying
7x + (-3x) + 8 = x + -2(x + -1)

Reorder the terms:
8 + 7x + (-3x) = x + -2(x + -1)

Combine like terms: 7x + (-3x) = 4x
8 + 4x = x + -2(x + -1)

Reorder the terms:
8 + 4x = x + -2(-1 + x)
8 + 4x = x + (-1 * -2 + x * -2)
8 + 4x = x + (2 + -2x)

Reorder the terms:
8 + 4x = 2 + x + -2x

Combine like terms: x + -2x = -1x
8 + 4x = 2 + -1x

Solving
8 + 4x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + 4x + x = 2 + -1x + x

Combine like terms: 4x + x = 5x
8 + 5x = 2 + -1x + x

Combine like terms: -1x + x = 0
8 + 5x = 2 + 0
8 + 5x = 2

Add '-8' to each side of the equation.
8 + -8 + 5x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 2 + -8
5x = 2 + -8

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

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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