30=x+37.50(x-5)

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Solution for 30=x+37.50(x-5) equation:


Simplifying
30 = x + 37.50(x + -5)

Reorder the terms:
30 = x + 37.50(-5 + x)
30 = x + (-5 * 37.50 + x * 37.50)
30 = x + (-187.5 + 37.50x)

Reorder the terms:
30 = -187.5 + x + 37.50x

Combine like terms: x + 37.50x = 38.5x
30 = -187.5 + 38.5x

Solving
30 = -187.5 + 38.5x

Solving for variable 'x'.

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

Add '-38.5x' to each side of the equation.
30 + -38.5x = -187.5 + 38.5x + -38.5x

Combine like terms: 38.5x + -38.5x = 0.0
30 + -38.5x = -187.5 + 0.0
30 + -38.5x = -187.5

Add '-30' to each side of the equation.
30 + -30 + -38.5x = -187.5 + -30

Combine like terms: 30 + -30 = 0
0 + -38.5x = -187.5 + -30
-38.5x = -187.5 + -30

Combine like terms: -187.5 + -30 = -217.5
-38.5x = -217.5

Divide each side by '-38.5'.
x = 5.649350649

Simplifying
x = 5.649350649

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