.30=x(.14)+(1-x)(.05)

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Solution for .30=x(.14)+(1-x)(.05) equation: 


Simplifying
0.30 = x(0.14) + (1 + -1x)(0.05)

Reorder the terms for easier multiplication:
0.30 = 0.14x + (1 + -1x)(0.05)

Reorder the terms for easier multiplication:
0.30 = 0.14x + 0.05(1 + -1x)
0.30 = 0.14x + (1 * 0.05 + -1x * 0.05)
0.30 = 0.14x + (0.05 + -0.05x)

Reorder the terms:
0.30 = 0.05 + 0.14x + -0.05x

Combine like terms: 0.14x + -0.05x = 0.09x
0.30 = 0.05 + 0.09x

Solving
0.30 = 0.05 + 0.09x

Solving for variable 'x'.

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

Add '-0.09x' to each side of the equation.
0.30 + -0.09x = 0.05 + 0.09x + -0.09x

Combine like terms: 0.09x + -0.09x = 0.00
0.30 + -0.09x = 0.05 + 0.00
0.30 + -0.09x = 0.05

Add '-0.30' to each side of the equation.
0.30 + -0.30 + -0.09x = 0.05 + -0.30

Combine like terms: 0.30 + -0.30 = 0.00
0.00 + -0.09x = 0.05 + -0.30
-0.09x = 0.05 + -0.30

Combine like terms: 0.05 + -0.30 = -0.25
-0.09x = -0.25

Divide each side by '-0.09'.
x = 2.777777778

Simplifying
x = 2.777777778

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