(x+20)*(1+(0.00*0.4))=(x)*(1+(0.30*0.4))

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Solution for (x+20)*(1+(0.00*0.4))=(x)*(1+(0.30*0.4)) equation: 


Simplifying
(x + 20)(1 + (0.00 * 0.4)) = (x)(1 + (0.30 * 0.4))

Reorder the terms:
(20 + x)(1 + (0.00 * 0.4)) = (x)(1 + (0.30 * 0.4))

Multiply 0.00 * 0.4
(20 + x)(1 + (0.000)) = (x)(1 + (0.30 * 0.4))

Anything times zero is zero.
(20 + x)(1 + (0.000)) = (x)(1 + (0.30 * 0.4))
(20 + x)(1 + 0.000) = (x)(1 + (0.30 * 0.4))

Combine like terms: 1 + 0.000 = 1
(20 + x)(1) = (x)(1 + (0.30 * 0.4))

Reorder the terms for easier multiplication:
1(20 + x) = (x)(1 + (0.30 * 0.4))
(20 * 1 + x * 1) = (x)(1 + (0.30 * 0.4))
(20 + 1x) = (x)(1 + (0.30 * 0.4))

Multiply 0.30 * 0.4
20 + 1x = x(1 + (0.12))
20 + 1x = x(1 + 0.12)

Combine like terms: 1 + 0.12 = 1.12
20 + 1x = x(1.12)

Reorder the terms for easier multiplication:
20 + 1x = 1.12x

Solving
20 + 1x = 1.12x

Solving for variable 'x'.

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

Add '-1.12x' to each side of the equation.
20 + 1x + -1.12x = 1.12x + -1.12x

Combine like terms: 1x + -1.12x = -0.12x
20 + -0.12x = 1.12x + -1.12x

Combine like terms: 1.12x + -1.12x = 0.00
20 + -0.12x = 0.00

Add '-20' to each side of the equation.
20 + -20 + -0.12x = 0.00 + -20

Combine like terms: 20 + -20 = 0
0 + -0.12x = 0.00 + -20
-0.12x = 0.00 + -20

Combine like terms: 0.00 + -20 = -20
-0.12x = -20

Divide each side by '-0.12'.
x = 166.6666667

Simplifying
x = 166.6666667

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