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

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


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

Reorder the terms:
-3(-5 + x) + -1(x + 1) = -5x + -1x
(-5 * -3 + x * -3) + -1(x + 1) = -5x + -1x
(15 + -3x) + -1(x + 1) = -5x + -1x

Reorder the terms:
15 + -3x + -1(1 + x) = -5x + -1x
15 + -3x + (1 * -1 + x * -1) = -5x + -1x
15 + -3x + (-1 + -1x) = -5x + -1x

Reorder the terms:
15 + -1 + -3x + -1x = -5x + -1x

Combine like terms: 15 + -1 = 14
14 + -3x + -1x = -5x + -1x

Combine like terms: -3x + -1x = -4x
14 + -4x = -5x + -1x

Combine like terms: -5x + -1x = -6x
14 + -4x = -6x

Solving
14 + -4x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
14 + -4x + 6x = -6x + 6x

Combine like terms: -4x + 6x = 2x
14 + 2x = -6x + 6x

Combine like terms: -6x + 6x = 0
14 + 2x = 0

Add '-14' to each side of the equation.
14 + -14 + 2x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 0 + -14
2x = 0 + -14

Combine like terms: 0 + -14 = -14
2x = -14

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

Simplifying
x = -7

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