(183-x)*7.5=x*6

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Solution for (183-x)*7.5=x*6 equation:


Simplifying
(183 + -1x) * 7.5 = x * 6

Reorder the terms for easier multiplication:
7.5(183 + -1x) = x * 6
(183 * 7.5 + -1x * 7.5) = x * 6
(1372.5 + -7.5x) = x * 6

Reorder the terms for easier multiplication:
1372.5 + -7.5x = 6x

Solving
1372.5 + -7.5x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1372.5 + -7.5x + -6x = 6x + -6x

Combine like terms: -7.5x + -6x = -13.5x
1372.5 + -13.5x = 6x + -6x

Combine like terms: 6x + -6x = 0
1372.5 + -13.5x = 0

Add '-1372.5' to each side of the equation.
1372.5 + -1372.5 + -13.5x = 0 + -1372.5

Combine like terms: 1372.5 + -1372.5 = 0.0
0.0 + -13.5x = 0 + -1372.5
-13.5x = 0 + -1372.5

Combine like terms: 0 + -1372.5 = -1372.5
-13.5x = -1372.5

Divide each side by '-13.5'.
x = 101.6666667

Simplifying
x = 101.6666667

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