.75x+.05(16-x)=.1(92)

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Solution for .75x+.05(16-x)=.1(92) equation:


Simplifying
0.75x + 0.05(16 + -1x) = 0.1(92)
0.75x + (16 * 0.05 + -1x * 0.05) = 0.1(92)
0.75x + (0.8 + -0.05x) = 0.1(92)

Reorder the terms:
0.8 + 0.75x + -0.05x = 0.1(92)

Combine like terms: 0.75x + -0.05x = 0.7x
0.8 + 0.7x = 0.1(92)

Multiply 0.1 * 92
0.8 + 0.7x = 9.2

Solving
0.8 + 0.7x = 9.2

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.7x = 9.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.7x = 9.2 + -0.8
0.7x = 9.2 + -0.8

Combine like terms: 9.2 + -0.8 = 8.4
0.7x = 8.4

Divide each side by '0.7'.
x = 12

Simplifying
x = 12

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