90*x=5*(10*x+9*x-100)

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Solution for 90*x=5*(10*x+9*x-100) equation: 


Simplifying
90x = 5(10x + 9x + -100)

Reorder the terms:
90x = 5(-100 + 10x + 9x)

Combine like terms: 10x + 9x = 19x
90x = 5(-100 + 19x)
90x = (-100 * 5 + 19x * 5)
90x = (-500 + 95x)

Solving
90x = -500 + 95x

Solving for variable 'x'.

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

Add '-95x' to each side of the equation.
90x + -95x = -500 + 95x + -95x

Combine like terms: 90x + -95x = -5x
-5x = -500 + 95x + -95x

Combine like terms: 95x + -95x = 0
-5x = -500 + 0
-5x = -500

Divide each side by '-5'.
x = 100

Simplifying
x = 100

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