.089=(x)(.12)+(1-x)(.079)(.65)

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Solution for .089=(x)(.12)+(1-x)(.079)(.65) equation: 


Simplifying
0.089 = (x)(0.12) + (1 + -1x)(0.079)(0.65)

Reorder the terms for easier multiplication:
0.089 = 0.12x + (1 + -1x)(0.079)(0.65)

Reorder the terms for easier multiplication:
0.089 = 0.12x + 0.079 * 0.65(1 + -1x)

Multiply 0.079 * 0.65
0.089 = 0.12x + 0.05135(1 + -1x)
0.089 = 0.12x + (1 * 0.05135 + -1x * 0.05135)
0.089 = 0.12x + (0.05135 + -0.05135x)

Reorder the terms:
0.089 = 0.05135 + 0.12x + -0.05135x

Combine like terms: 0.12x + -0.05135x = 0.06865x
0.089 = 0.05135 + 0.06865x

Solving
0.089 = 0.05135 + 0.06865x

Solving for variable 'x'.

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

Add '-0.06865x' to each side of the equation.
0.089 + -0.06865x = 0.05135 + 0.06865x + -0.06865x

Combine like terms: 0.06865x + -0.06865x = 0.00000
0.089 + -0.06865x = 0.05135 + 0.00000
0.089 + -0.06865x = 0.05135

Add '-0.089' to each side of the equation.
0.089 + -0.089 + -0.06865x = 0.05135 + -0.089

Combine like terms: 0.089 + -0.089 = 0.000
0.000 + -0.06865x = 0.05135 + -0.089
-0.06865x = 0.05135 + -0.089

Combine like terms: 0.05135 + -0.089 = -0.03765
-0.06865x = -0.03765

Divide each side by '-0.06865'.
x = 0.5484340859

Simplifying
x = 0.5484340859

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