.75x+.25(10-x)=.89(10)

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Solution for .75x+.25(10-x)=.89(10) equation: 


Simplifying
0.75x + 0.25(10 + -1x) = 0.89(10)
0.75x + (10 * 0.25 + -1x * 0.25) = 0.89(10)
0.75x + (2.5 + -0.25x) = 0.89(10)

Reorder the terms:
2.5 + 0.75x + -0.25x = 0.89(10)

Combine like terms: 0.75x + -0.25x = 0.5x
2.5 + 0.5x = 0.89(10)

Multiply 0.89 * 10
2.5 + 0.5x = 8.9

Solving
2.5 + 0.5x = 8.9

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.5x = 8.9 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5x = 8.9 + -2.5
0.5x = 8.9 + -2.5

Combine like terms: 8.9 + -2.5 = 6.4
0.5x = 6.4

Divide each side by '0.5'.
x = 12.8

Simplifying
x = 12.8

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