0.55x+.05(10-x)=.10(75)

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Solution for 0.55x+.05(10-x)=.10(75) equation: 


Simplifying
0.55x + 0.05(10 + -1x) = 0.10(75)
0.55x + (10 * 0.05 + -1x * 0.05) = 0.10(75)
0.55x + (0.5 + -0.05x) = 0.10(75)

Reorder the terms:
0.5 + 0.55x + -0.05x = 0.10(75)

Combine like terms: 0.55x + -0.05x = 0.5x
0.5 + 0.5x = 0.10(75)

Multiply 0.10 * 75
0.5 + 0.5x = 7.5

Solving
0.5 + 0.5x = 7.5

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.5x = 7.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.5x = 7.5 + -0.5
0.5x = 7.5 + -0.5

Combine like terms: 7.5 + -0.5 = 7
0.5x = 7

Divide each side by '0.5'.
x = 14

Simplifying
x = 14

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