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

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


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

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

Combine like terms: 8 + 2 = 10
10 + -2x = -3x + 1

Reorder the terms:
10 + -2x = 1 + -3x

Solving
10 + -2x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + -2x + 3x = 1 + -3x + 3x

Combine like terms: -2x + 3x = 1x
10 + 1x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 1x = 1 + 0
10 + 1x = 1

Add '-10' to each side of the equation.
10 + -10 + 1x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 1 + -10
1x = 1 + -10

Combine like terms: 1 + -10 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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