5x-10=-(5x-90)

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Solution for 5x-10=-(5x-90) equation:


Simplifying
5x + -10 = -1(5x + -90)

Reorder the terms:
-10 + 5x = -1(5x + -90)

Reorder the terms:
-10 + 5x = -1(-90 + 5x)
-10 + 5x = (-90 * -1 + 5x * -1)
-10 + 5x = (90 + -5x)

Solving
-10 + 5x = 90 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-10 + 5x + 5x = 90 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-10 + 10x = 90 + -5x + 5x

Combine like terms: -5x + 5x = 0
-10 + 10x = 90 + 0
-10 + 10x = 90

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

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

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

Divide each side by '10'.
x = 10

Simplifying
x = 10

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