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

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Solution for 10-(x-5)=1-3x equation: 


Simplifying
10 + -1(x + -5) = 1 + -3x

Reorder the terms:
10 + -1(-5 + x) = 1 + -3x
10 + (-5 * -1 + x * -1) = 1 + -3x
10 + (5 + -1x) = 1 + -3x

Combine like terms: 10 + 5 = 15
15 + -1x = 1 + -3x

Solving
15 + -1x = 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.
15 + -1x + 3x = 1 + -3x + 3x

Combine like terms: -1x + 3x = 2x
15 + 2x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 2x = 1 + 0
15 + 2x = 1

Add '-15' to each side of the equation.
15 + -15 + 2x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 1 + -15
2x = 1 + -15

Combine like terms: 1 + -15 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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