(x)(0.04)+(1-x)(0.02)=(x)(0.02)+(1-x)(0.08)

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Solution for (x)(0.04)+(1-x)(0.02)=(x)(0.02)+(1-x)(0.08) equation: 


Simplifying
(x)(0.04) + (1 + -1x)(0.02) = (x)(0.02) + (1 + -1x)(0.08)

Reorder the terms for easier multiplication:
0.04x + (1 + -1x)(0.02) = (x)(0.02) + (1 + -1x)(0.08)

Reorder the terms for easier multiplication:
0.04x + 0.02(1 + -1x) = (x)(0.02) + (1 + -1x)(0.08)
0.04x + (1 * 0.02 + -1x * 0.02) = (x)(0.02) + (1 + -1x)(0.08)
0.04x + (0.02 + -0.02x) = (x)(0.02) + (1 + -1x)(0.08)

Reorder the terms:
0.02 + 0.04x + -0.02x = (x)(0.02) + (1 + -1x)(0.08)

Combine like terms: 0.04x + -0.02x = 0.02x
0.02 + 0.02x = (x)(0.02) + (1 + -1x)(0.08)

Reorder the terms for easier multiplication:
0.02 + 0.02x = 0.02x + (1 + -1x)(0.08)

Reorder the terms for easier multiplication:
0.02 + 0.02x = 0.02x + 0.08(1 + -1x)
0.02 + 0.02x = 0.02x + (1 * 0.08 + -1x * 0.08)
0.02 + 0.02x = 0.02x + (0.08 + -0.08x)

Reorder the terms:
0.02 + 0.02x = 0.08 + 0.02x + -0.08x

Combine like terms: 0.02x + -0.08x = -0.06x
0.02 + 0.02x = 0.08 + -0.06x

Solving
0.02 + 0.02x = 0.08 + -0.06x

Solving for variable 'x'.

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

Add '0.06x' to each side of the equation.
0.02 + 0.02x + 0.06x = 0.08 + -0.06x + 0.06x

Combine like terms: 0.02x + 0.06x = 0.08x
0.02 + 0.08x = 0.08 + -0.06x + 0.06x

Combine like terms: -0.06x + 0.06x = 0.00
0.02 + 0.08x = 0.08 + 0.00
0.02 + 0.08x = 0.08

Add '-0.02' to each side of the equation.
0.02 + -0.02 + 0.08x = 0.08 + -0.02

Combine like terms: 0.02 + -0.02 = 0.00
0.00 + 0.08x = 0.08 + -0.02
0.08x = 0.08 + -0.02

Combine like terms: 0.08 + -0.02 = 0.06
0.08x = 0.06

Divide each side by '0.08'.
x = 0.75

Simplifying
x = 0.75

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