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

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


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

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

Reorder the terms:
3 + -3x + -2(-5 + x) = -3x + -5x
3 + -3x + (-5 * -2 + x * -2) = -3x + -5x
3 + -3x + (10 + -2x) = -3x + -5x

Reorder the terms:
3 + 10 + -3x + -2x = -3x + -5x

Combine like terms: 3 + 10 = 13
13 + -3x + -2x = -3x + -5x

Combine like terms: -3x + -2x = -5x
13 + -5x = -3x + -5x

Combine like terms: -3x + -5x = -8x
13 + -5x = -8x

Solving
13 + -5x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
13 + -5x + 8x = -8x + 8x

Combine like terms: -5x + 8x = 3x
13 + 3x = -8x + 8x

Combine like terms: -8x + 8x = 0
13 + 3x = 0

Add '-13' to each side of the equation.
13 + -13 + 3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 0 + -13
3x = 0 + -13

Combine like terms: 0 + -13 = -13
3x = -13

Divide each side by '3'.
x = -4.333333333

Simplifying
x = -4.333333333

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