.6x+.05(16-x)=.1(107)

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Solution for .6x+.05(16-x)=.1(107) equation:


Simplifying
0.6x + 0.05(16 + -1x) = 0.1(107)
0.6x + (16 * 0.05 + -1x * 0.05) = 0.1(107)
0.6x + (0.8 + -0.05x) = 0.1(107)

Reorder the terms:
0.8 + 0.6x + -0.05x = 0.1(107)

Combine like terms: 0.6x + -0.05x = 0.55x
0.8 + 0.55x = 0.1(107)

Multiply 0.1 * 107
0.8 + 0.55x = 10.7

Solving
0.8 + 0.55x = 10.7

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 + 0.55x = 10.7 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.55x = 10.7 + -0.8
0.55x = 10.7 + -0.8

Combine like terms: 10.7 + -0.8 = 9.9
0.55x = 9.9

Divide each side by '0.55'.
x = 18

Simplifying
x = 18

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