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

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


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

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

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

Solving
3 + -3x = -10 + -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.
3 + -3x + 2x = -10 + -2x + 2x

Combine like terms: -3x + 2x = -1x
3 + -1x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + -1x = -10 + 0
3 + -1x = -10

Add '-3' to each side of the equation.
3 + -3 + -1x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -10 + -3
-1x = -10 + -3

Combine like terms: -10 + -3 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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