.43x+.71(140-x)=.63(140)

Solution for .43x+.71(140-x)=.63(140) equation:

Simplifying
0.43x + 0.71(140 + -1x) = 0.63(140)
0.43x + (140 * 0.71 + -1x * 0.71) = 0.63(140)
0.43x + (99.4 + -0.71x) = 0.63(140)

Reorder the terms:
99.4 + 0.43x + -0.71x = 0.63(140)

Combine like terms: 0.43x + -0.71x = -0.28x
99.4 + -0.28x = 0.63(140)

Multiply 0.63 * 140
99.4 + -0.28x = 88.2

Solving
99.4 + -0.28x = 88.2

Solving for variable 'x'.

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

Add '-99.4' to each side of the equation.
99.4 + -99.4 + -0.28x = 88.2 + -99.4

Combine like terms: 99.4 + -99.4 = 0.0
0.0 + -0.28x = 88.2 + -99.4
-0.28x = 88.2 + -99.4

Combine like terms: 88.2 + -99.4 = -11.2
-0.28x = -11.2

Divide each side by '-0.28'.
x = 40

Simplifying
x = 40