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

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


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

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

Combine like terms: 3 + 1 = 4
4 + -1x = -1 + -2(5 + -1x)
4 + -1x = -1 + (5 * -2 + -1x * -2)
4 + -1x = -1 + (-10 + 2x)

Combine like terms: -1 + -10 = -11
4 + -1x = -11 + 2x

Solving
4 + -1x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + -1x + -2x = -11 + 2x + -2x

Combine like terms: -1x + -2x = -3x
4 + -3x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -3x = -11 + 0
4 + -3x = -11

Add '-4' to each side of the equation.
4 + -4 + -3x = -11 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -11 + -4
-3x = -11 + -4

Combine like terms: -11 + -4 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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