.12=x(.10)+(1-x)(.15)

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Solution for .12=x(.10)+(1-x)(.15) equation: 


Simplifying
0.12 = x(0.10) + (1 + -1x)(0.15)

Reorder the terms for easier multiplication:
0.12 = 0.10x + (1 + -1x)(0.15)

Reorder the terms for easier multiplication:
0.12 = 0.10x + 0.15(1 + -1x)
0.12 = 0.10x + (1 * 0.15 + -1x * 0.15)
0.12 = 0.10x + (0.15 + -0.15x)

Reorder the terms:
0.12 = 0.15 + 0.10x + -0.15x

Combine like terms: 0.10x + -0.15x = -0.05x
0.12 = 0.15 + -0.05x

Solving
0.12 = 0.15 + -0.05x

Solving for variable 'x'.

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

Add '0.05x' to each side of the equation.
0.12 + 0.05x = 0.15 + -0.05x + 0.05x

Combine like terms: -0.05x + 0.05x = 0.00
0.12 + 0.05x = 0.15 + 0.00
0.12 + 0.05x = 0.15

Add '-0.12' to each side of the equation.
0.12 + -0.12 + 0.05x = 0.15 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + 0.05x = 0.15 + -0.12
0.05x = 0.15 + -0.12

Combine like terms: 0.15 + -0.12 = 0.03
0.05x = 0.03

Divide each side by '0.05'.
x = 0.6

Simplifying
x = 0.6

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