(37.5+10x)-(-0.5x+20x)=0

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Solution for (37.5+10x)-(-0.5x+20x)=0 equation:


Simplifying
(37.5 + 10x) + -1(-0.5x + 20x) = 0

Remove parenthesis around (37.5 + 10x)
37.5 + 10x + -1(-0.5x + 20x) = 0

Combine like terms: -0.5x + 20x = 19.5x
37.5 + 10x + -1(19.5x) = 0

Remove parenthesis around (19.5x)
37.5 + 10x + -1 * 19.5x = 0

Multiply -1 * 19.5
37.5 + 10x + -19.5x = 0

Combine like terms: 10x + -19.5x = -9.5x
37.5 + -9.5x = 0

Solving
37.5 + -9.5x = 0

Solving for variable 'x'.

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

Add '-37.5' to each side of the equation.
37.5 + -37.5 + -9.5x = 0 + -37.5

Combine like terms: 37.5 + -37.5 = 0.0
0.0 + -9.5x = 0 + -37.5
-9.5x = 0 + -37.5

Combine like terms: 0 + -37.5 = -37.5
-9.5x = -37.5

Divide each side by '-9.5'.
x = 3.947368421

Simplifying
x = 3.947368421

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