0.10x+0.15(50-x)=0.12(50)

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Solution for 0.10x+0.15(50-x)=0.12(50) equation: 


Simplifying
0.10x + 0.15(50 + -1x) = 0.12(50)
0.10x + (50 * 0.15 + -1x * 0.15) = 0.12(50)
0.10x + (7.5 + -0.15x) = 0.12(50)

Reorder the terms:
7.5 + 0.10x + -0.15x = 0.12(50)

Combine like terms: 0.10x + -0.15x = -0.05x
7.5 + -0.05x = 0.12(50)

Multiply 0.12 * 50
7.5 + -0.05x = 6

Solving
7.5 + -0.05x = 6

Solving for variable 'x'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -0.05x = 6 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -0.05x = 6 + -7.5
-0.05x = 6 + -7.5

Combine like terms: 6 + -7.5 = -1.5
-0.05x = -1.5

Divide each side by '-0.05'.
x = 30

Simplifying
x = 30

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