-3(x-10)=-2(-x+5)

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Solution for -3(x-10)=-2(-x+5) equation:


Simplifying
-3(x + -10) = -2(-1x + 5)

Reorder the terms:
-3(-10 + x) = -2(-1x + 5)
(-10 * -3 + x * -3) = -2(-1x + 5)
(30 + -3x) = -2(-1x + 5)

Reorder the terms:
30 + -3x = -2(5 + -1x)
30 + -3x = (5 * -2 + -1x * -2)
30 + -3x = (-10 + 2x)

Solving
30 + -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.
30 + -3x + -2x = -10 + 2x + -2x

Combine like terms: -3x + -2x = -5x
30 + -5x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + -5x = -10 + 0
30 + -5x = -10

Add '-30' to each side of the equation.
30 + -30 + -5x = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -5x = -10 + -30
-5x = -10 + -30

Combine like terms: -10 + -30 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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