0.75x+.05(12-x)=.10(90)

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Solution for 0.75x+.05(12-x)=.10(90) equation:


Simplifying
0.75x + 0.05(12 + -1x) = 0.10(90)
0.75x + (12 * 0.05 + -1x * 0.05) = 0.10(90)
0.75x + (0.6 + -0.05x) = 0.10(90)

Reorder the terms:
0.6 + 0.75x + -0.05x = 0.10(90)

Combine like terms: 0.75x + -0.05x = 0.7x
0.6 + 0.7x = 0.10(90)

Multiply 0.10 * 90
0.6 + 0.7x = 9

Solving
0.6 + 0.7x = 9

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.7x = 9 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.7x = 9 + -0.6
0.7x = 9 + -0.6

Combine like terms: 9 + -0.6 = 8.4
0.7x = 8.4

Divide each side by '0.7'.
x = 12

Simplifying
x = 12

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