.49x+.77(140-x)=.69(140)

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Solution for .49x+.77(140-x)=.69(140) equation: 


Simplifying
0.49x + 0.77(140 + -1x) = 0.69(140)
0.49x + (140 * 0.77 + -1x * 0.77) = 0.69(140)
0.49x + (107.8 + -0.77x) = 0.69(140)

Reorder the terms:
107.8 + 0.49x + -0.77x = 0.69(140)

Combine like terms: 0.49x + -0.77x = -0.28x
107.8 + -0.28x = 0.69(140)

Multiply 0.69 * 140
107.8 + -0.28x = 96.6

Solving
107.8 + -0.28x = 96.6

Solving for variable 'x'.

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

Add '-107.8' to each side of the equation.
107.8 + -107.8 + -0.28x = 96.6 + -107.8

Combine like terms: 107.8 + -107.8 = 0.0
0.0 + -0.28x = 96.6 + -107.8
-0.28x = 96.6 + -107.8

Combine like terms: 96.6 + -107.8 = -11.2
-0.28x = -11.2

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

Simplifying
x = 40

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