0.43x+0.67(120-x)=0.59(120)

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Solution for 0.43x+0.67(120-x)=0.59(120) equation: 


Simplifying
0.43x + 0.67(120 + -1x) = 0.59(120)
0.43x + (120 * 0.67 + -1x * 0.67) = 0.59(120)
0.43x + (80.4 + -0.67x) = 0.59(120)

Reorder the terms:
80.4 + 0.43x + -0.67x = 0.59(120)

Combine like terms: 0.43x + -0.67x = -0.24x
80.4 + -0.24x = 0.59(120)

Multiply 0.59 * 120
80.4 + -0.24x = 70.8

Solving
80.4 + -0.24x = 70.8

Solving for variable 'x'.

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

Add '-80.4' to each side of the equation.
80.4 + -80.4 + -0.24x = 70.8 + -80.4

Combine like terms: 80.4 + -80.4 = 0.0
0.0 + -0.24x = 70.8 + -80.4
-0.24x = 70.8 + -80.4

Combine like terms: 70.8 + -80.4 = -9.6
-0.24x = -9.6

Divide each side by '-0.24'.
x = 40

Simplifying
x = 40

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