.43x+.67(120-x)=.63(120)

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Solution for .43x+.67(120-x)=.63(120) equation:


Simplifying
0.43x + 0.67(120 + -1x) = 0.63(120)
0.43x + (120 * 0.67 + -1x * 0.67) = 0.63(120)
0.43x + (80.4 + -0.67x) = 0.63(120)

Reorder the terms:
80.4 + 0.43x + -0.67x = 0.63(120)

Combine like terms: 0.43x + -0.67x = -0.24x
80.4 + -0.24x = 0.63(120)

Multiply 0.63 * 120
80.4 + -0.24x = 75.6

Solving
80.4 + -0.24x = 75.6

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 = 75.6 + -80.4

Combine like terms: 80.4 + -80.4 = 0.0
0.0 + -0.24x = 75.6 + -80.4
-0.24x = 75.6 + -80.4

Combine like terms: 75.6 + -80.4 = -4.8
-0.24x = -4.8

Divide each side by '-0.24'.
x = 20

Simplifying
x = 20

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