.95x+.05(12-x)=.1(-102)

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Solution for .95x+.05(12-x)=.1(-102) equation:


Simplifying
0.95x + 0.05(12 + -1x) = 0.1(-102)
0.95x + (12 * 0.05 + -1x * 0.05) = 0.1(-102)
0.95x + (0.6 + -0.05x) = 0.1(-102)

Reorder the terms:
0.6 + 0.95x + -0.05x = 0.1(-102)

Combine like terms: 0.95x + -0.05x = 0.9x
0.6 + 0.9x = 0.1(-102)

Multiply 0.1 * -102
0.6 + 0.9x = -10.2

Solving
0.6 + 0.9x = -10.2

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 + 0.9x = -10.2 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.9x = -10.2 + -0.6
0.9x = -10.2 + -0.6

Combine like terms: -10.2 + -0.6 = -10.8
0.9x = -10.8

Divide each side by '0.9'.
x = -12

Simplifying
x = -12

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