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

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


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

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

Reorder the terms:
2 + -1x = -3(-5 + x)
2 + -1x = (-5 * -3 + x * -3)
2 + -1x = (15 + -3x)

Solving
2 + -1x = 15 + -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.
2 + -1x + 3x = 15 + -3x + 3x

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

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

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

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

Combine like terms: 15 + -2 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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