0.85x+0.5(16-x)=.10(88)

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Solution for 0.85x+0.5(16-x)=.10(88) equation:


Simplifying
0.85x + 0.5(16 + -1x) = 0.10(88)
0.85x + (16 * 0.5 + -1x * 0.5) = 0.10(88)
0.85x + (8 + -0.5x) = 0.10(88)

Reorder the terms:
8 + 0.85x + -0.5x = 0.10(88)

Combine like terms: 0.85x + -0.5x = 0.35x
8 + 0.35x = 0.10(88)

Multiply 0.10 * 88
8 + 0.35x = 8.8

Solving
8 + 0.35x = 8.8

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 0.35x = 8.8 + -8

Combine like terms: 8 + -8 = 0
0 + 0.35x = 8.8 + -8
0.35x = 8.8 + -8

Combine like terms: 8.8 + -8 = 0.8
0.35x = 0.8

Divide each side by '0.35'.
x = 2.285714286

Simplifying
x = 2.285714286

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