0.12x+0.32(120-x)=0.27(120)

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Solution for 0.12x+0.32(120-x)=0.27(120) equation: 


Simplifying
0.12x + 0.32(120 + -1x) = 0.27(120)
0.12x + (120 * 0.32 + -1x * 0.32) = 0.27(120)
0.12x + (38.4 + -0.32x) = 0.27(120)

Reorder the terms:
38.4 + 0.12x + -0.32x = 0.27(120)

Combine like terms: 0.12x + -0.32x = -0.2x
38.4 + -0.2x = 0.27(120)

Multiply 0.27 * 120
38.4 + -0.2x = 32.4

Solving
38.4 + -0.2x = 32.4

Solving for variable 'x'.

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

Add '-38.4' to each side of the equation.
38.4 + -38.4 + -0.2x = 32.4 + -38.4

Combine like terms: 38.4 + -38.4 = 0.0
0.0 + -0.2x = 32.4 + -38.4
-0.2x = 32.4 + -38.4

Combine like terms: 32.4 + -38.4 = -6
-0.2x = -6

Divide each side by '-0.2'.
x = 30

Simplifying
x = 30

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