(0.10)(0.5)+0.35x=0.15(x+0.5)

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Solution for (0.10)(0.5)+0.35x=0.15(x+0.5) equation: 


Simplifying
(0.10)(0.5) + 0.35x = 0.15(x + 0.5)

Multiply 0.10 * 0.5
0.05 + 0.35x = 0.15(x + 0.5)

Reorder the terms:
0.05 + 0.35x = 0.15(0.5 + x)
0.05 + 0.35x = (0.5 * 0.15 + x * 0.15)
0.05 + 0.35x = (0.075 + 0.15x)

Solving
0.05 + 0.35x = 0.075 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
0.05 + 0.35x + -0.15x = 0.075 + 0.15x + -0.15x

Combine like terms: 0.35x + -0.15x = 0.2x
0.05 + 0.2x = 0.075 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
0.05 + 0.2x = 0.075 + 0.00
0.05 + 0.2x = 0.075

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 0.2x = 0.075 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 0.2x = 0.075 + -0.05
0.2x = 0.075 + -0.05

Combine like terms: 0.075 + -0.05 = 0.025
0.2x = 0.025

Divide each side by '0.2'.
x = 0.125

Simplifying
x = 0.125

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