60(10-x)=90(x)

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Solution for 60(10-x)=90(x) equation:


Simplifying
60(10 + -1x) = 90(x)
(10 * 60 + -1x * 60) = 90(x)
(600 + -60x) = 90(x)

Solving
600 + -60x = 90x

Solving for variable 'x'.

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

Add '-90x' to each side of the equation.
600 + -60x + -90x = 90x + -90x

Combine like terms: -60x + -90x = -150x
600 + -150x = 90x + -90x

Combine like terms: 90x + -90x = 0
600 + -150x = 0

Add '-600' to each side of the equation.
600 + -600 + -150x = 0 + -600

Combine like terms: 600 + -600 = 0
0 + -150x = 0 + -600
-150x = 0 + -600

Combine like terms: 0 + -600 = -600
-150x = -600

Divide each side by '-150'.
x = 4

Simplifying
x = 4

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