0.72*1.5+0.28*20x=0.5+(1-x)*0.28*20

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Solution for 0.72*1.5+0.28*20x=0.5+(1-x)*0.28*20 equation: 


Simplifying
0.72 * 1.5 + 0.28 * 20x = 0.5 + (1 + -1x) * 0.28 * 20

Multiply 0.72 * 1.5
1.08 + 0.28 * 20x = 0.5 + (1 + -1x) * 0.28 * 20

Multiply 0.28 * 20
1.08 + 5.6x = 0.5 + (1 + -1x) * 0.28 * 20

Reorder the terms for easier multiplication:
1.08 + 5.6x = 0.5 + 0.28 * 20(1 + -1x)

Multiply 0.28 * 20
1.08 + 5.6x = 0.5 + 5.6(1 + -1x)
1.08 + 5.6x = 0.5 + (1 * 5.6 + -1x * 5.6)
1.08 + 5.6x = 0.5 + (5.6 + -5.6x)

Combine like terms: 0.5 + 5.6 = 6.1
1.08 + 5.6x = 6.1 + -5.6x

Solving
1.08 + 5.6x = 6.1 + -5.6x

Solving for variable 'x'.

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

Add '5.6x' to each side of the equation.
1.08 + 5.6x + 5.6x = 6.1 + -5.6x + 5.6x

Combine like terms: 5.6x + 5.6x = 11.2x
1.08 + 11.2x = 6.1 + -5.6x + 5.6x

Combine like terms: -5.6x + 5.6x = 0.0
1.08 + 11.2x = 6.1 + 0.0
1.08 + 11.2x = 6.1

Add '-1.08' to each side of the equation.
1.08 + -1.08 + 11.2x = 6.1 + -1.08

Combine like terms: 1.08 + -1.08 = 0.00
0.00 + 11.2x = 6.1 + -1.08
11.2x = 6.1 + -1.08

Combine like terms: 6.1 + -1.08 = 5.02
11.2x = 5.02

Divide each side by '11.2'.
x = 0.4482142857

Simplifying
x = 0.4482142857

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