3x-10=90(2x-10)

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Solution for 3x-10=90(2x-10) equation:


Simplifying
3x + -10 = 90(2x + -10)

Reorder the terms:
-10 + 3x = 90(2x + -10)

Reorder the terms:
-10 + 3x = 90(-10 + 2x)
-10 + 3x = (-10 * 90 + 2x * 90)
-10 + 3x = (-900 + 180x)

Solving
-10 + 3x = -900 + 180x

Solving for variable 'x'.

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

Add '-180x' to each side of the equation.
-10 + 3x + -180x = -900 + 180x + -180x

Combine like terms: 3x + -180x = -177x
-10 + -177x = -900 + 180x + -180x

Combine like terms: 180x + -180x = 0
-10 + -177x = -900 + 0
-10 + -177x = -900

Add '10' to each side of the equation.
-10 + 10 + -177x = -900 + 10

Combine like terms: -10 + 10 = 0
0 + -177x = -900 + 10
-177x = -900 + 10

Combine like terms: -900 + 10 = -890
-177x = -890

Divide each side by '-177'.
x = 5.028248588

Simplifying
x = 5.028248588

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