0.4x+0.25(120-x)=38

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Solution for 0.4x+0.25(120-x)=38 equation: 


Simplifying
0.4x + 0.25(120 + -1x) = 38
0.4x + (120 * 0.25 + -1x * 0.25) = 38
0.4x + (30 + -0.25x) = 38

Reorder the terms:
30 + 0.4x + -0.25x = 38

Combine like terms: 0.4x + -0.25x = 0.15x
30 + 0.15x = 38

Solving
30 + 0.15x = 38

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 0.15x = 38 + -30

Combine like terms: 30 + -30 = 0
0 + 0.15x = 38 + -30
0.15x = 38 + -30

Combine like terms: 38 + -30 = 8
0.15x = 8

Divide each side by '0.15'.
x = 53.33333333

Simplifying
x = 53.33333333

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