-3(x-13)=-(x-7)

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Solution for -3(x-13)=-(x-7) equation:


Simplifying
-3(x + -13) = -1(x + -7)

Reorder the terms:
-3(-13 + x) = -1(x + -7)
(-13 * -3 + x * -3) = -1(x + -7)
(39 + -3x) = -1(x + -7)

Reorder the terms:
39 + -3x = -1(-7 + x)
39 + -3x = (-7 * -1 + x * -1)
39 + -3x = (7 + -1x)

Solving
39 + -3x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
39 + -3x + x = 7 + -1x + x

Combine like terms: -3x + x = -2x
39 + -2x = 7 + -1x + x

Combine like terms: -1x + x = 0
39 + -2x = 7 + 0
39 + -2x = 7

Add '-39' to each side of the equation.
39 + -39 + -2x = 7 + -39

Combine like terms: 39 + -39 = 0
0 + -2x = 7 + -39
-2x = 7 + -39

Combine like terms: 7 + -39 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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