9(x-10)=-(x-10)

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Solution for 9(x-10)=-(x-10) equation:


Simplifying
9(x + -10) = -1(x + -10)

Reorder the terms:
9(-10 + x) = -1(x + -10)
(-10 * 9 + x * 9) = -1(x + -10)
(-90 + 9x) = -1(x + -10)

Reorder the terms:
-90 + 9x = -1(-10 + x)
-90 + 9x = (-10 * -1 + x * -1)
-90 + 9x = (10 + -1x)

Solving
-90 + 9x = 10 + -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.
-90 + 9x + x = 10 + -1x + x

Combine like terms: 9x + x = 10x
-90 + 10x = 10 + -1x + x

Combine like terms: -1x + x = 0
-90 + 10x = 10 + 0
-90 + 10x = 10

Add '90' to each side of the equation.
-90 + 90 + 10x = 10 + 90

Combine like terms: -90 + 90 = 0
0 + 10x = 10 + 90
10x = 10 + 90

Combine like terms: 10 + 90 = 100
10x = 100

Divide each side by '10'.
x = 10

Simplifying
x = 10

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