0.3x+0.65*125=0.5(x+125)

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Solution for 0.3x+0.65*125=0.5(x+125) equation: 


Simplifying
0.3x + 0.65 * 125 = 0.5(x + 125)

Multiply 0.65 * 125
0.3x + 81.25 = 0.5(x + 125)

Reorder the terms:
81.25 + 0.3x = 0.5(x + 125)

Reorder the terms:
81.25 + 0.3x = 0.5(125 + x)
81.25 + 0.3x = (125 * 0.5 + x * 0.5)
81.25 + 0.3x = (62.5 + 0.5x)

Solving
81.25 + 0.3x = 62.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
81.25 + 0.3x + -0.5x = 62.5 + 0.5x + -0.5x

Combine like terms: 0.3x + -0.5x = -0.2x
81.25 + -0.2x = 62.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
81.25 + -0.2x = 62.5 + 0.0
81.25 + -0.2x = 62.5

Add '-81.25' to each side of the equation.
81.25 + -81.25 + -0.2x = 62.5 + -81.25

Combine like terms: 81.25 + -81.25 = 0.00
0.00 + -0.2x = 62.5 + -81.25
-0.2x = 62.5 + -81.25

Combine like terms: 62.5 + -81.25 = -18.75
-0.2x = -18.75

Divide each side by '-0.2'.
x = 93.75

Simplifying
x = 93.75

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