-(x-1)+10=-3(x-3)

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Solution for -(x-1)+10=-3(x-3) equation:


Simplifying
-1(x + -1) + 10 = -3(x + -3)

Reorder the terms:
-1(-1 + x) + 10 = -3(x + -3)
(-1 * -1 + x * -1) + 10 = -3(x + -3)
(1 + -1x) + 10 = -3(x + -3)

Reorder the terms:
1 + 10 + -1x = -3(x + -3)

Combine like terms: 1 + 10 = 11
11 + -1x = -3(x + -3)

Reorder the terms:
11 + -1x = -3(-3 + x)
11 + -1x = (-3 * -3 + x * -3)
11 + -1x = (9 + -3x)

Solving
11 + -1x = 9 + -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.
11 + -1x + 3x = 9 + -3x + 3x

Combine like terms: -1x + 3x = 2x
11 + 2x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 2x = 9 + 0
11 + 2x = 9

Add '-11' to each side of the equation.
11 + -11 + 2x = 9 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 9 + -11
2x = 9 + -11

Combine like terms: 9 + -11 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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