0.4x+0.25(118-x)=40.12

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Solution for 0.4x+0.25(118-x)=40.12 equation: 


Simplifying
0.4x + 0.25(118 + -1x) = 40.12
0.4x + (118 * 0.25 + -1x * 0.25) = 40.12
0.4x + (29.5 + -0.25x) = 40.12

Reorder the terms:
29.5 + 0.4x + -0.25x = 40.12

Combine like terms: 0.4x + -0.25x = 0.15x
29.5 + 0.15x = 40.12

Solving
29.5 + 0.15x = 40.12

Solving for variable 'x'.

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

Add '-29.5' to each side of the equation.
29.5 + -29.5 + 0.15x = 40.12 + -29.5

Combine like terms: 29.5 + -29.5 = 0.0
0.0 + 0.15x = 40.12 + -29.5
0.15x = 40.12 + -29.5

Combine like terms: 40.12 + -29.5 = 10.62
0.15x = 10.62

Divide each side by '0.15'.
x = 70.8

Simplifying
x = 70.8

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