-3(x-9)=-(x-7)

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Solution for -3(x-9)=-(x-7) equation:


Simplifying
-3(x + -9) = -1(x + -7)

Reorder the terms:
-3(-9 + x) = -1(x + -7)
(-9 * -3 + x * -3) = -1(x + -7)
(27 + -3x) = -1(x + -7)

Reorder the terms:
27 + -3x = -1(-7 + x)
27 + -3x = (-7 * -1 + x * -1)
27 + -3x = (7 + -1x)

Solving
27 + -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.
27 + -3x + x = 7 + -1x + x

Combine like terms: -3x + x = -2x
27 + -2x = 7 + -1x + x

Combine like terms: -1x + x = 0
27 + -2x = 7 + 0
27 + -2x = 7

Add '-27' to each side of the equation.
27 + -27 + -2x = 7 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = 7 + -27
-2x = 7 + -27

Combine like terms: 7 + -27 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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