(.40)(x)+(.60)(20)=(.56)(x+20)

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Solution for (.40)(x)+(.60)(20)=(.56)(x+20) equation: 


Simplifying
(0.40)(x) + (0.60)(20) = (0.56)(x + 20)

Multiply 0.60 * 20
0.40x + 12 = (0.56)(x + 20)

Reorder the terms:
12 + 0.40x = (0.56)(x + 20)

Reorder the terms:
12 + 0.40x = 0.56(20 + x)
12 + 0.40x = (20 * 0.56 + x * 0.56)
12 + 0.40x = (11.2 + 0.56x)

Solving
12 + 0.40x = 11.2 + 0.56x

Solving for variable 'x'.

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

Add '-0.56x' to each side of the equation.
12 + 0.40x + -0.56x = 11.2 + 0.56x + -0.56x

Combine like terms: 0.40x + -0.56x = -0.16x
12 + -0.16x = 11.2 + 0.56x + -0.56x

Combine like terms: 0.56x + -0.56x = 0.00
12 + -0.16x = 11.2 + 0.00
12 + -0.16x = 11.2

Add '-12' to each side of the equation.
12 + -12 + -0.16x = 11.2 + -12

Combine like terms: 12 + -12 = 0
0 + -0.16x = 11.2 + -12
-0.16x = 11.2 + -12

Combine like terms: 11.2 + -12 = -0.8
-0.16x = -0.8

Divide each side by '-0.16'.
x = 5

Simplifying
x = 5

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