x+0.08(80)=0.20(80+x)

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Solution for x+0.08(80)=0.20(80+x) equation: 


Simplifying
x + 0.08(80) = 0.20(80 + x)

Multiply 0.08 * 80
x + 6.4 = 0.20(80 + x)

Reorder the terms:
6.4 + x = 0.20(80 + x)
6.4 + x = (80 * 0.20 + x * 0.20)
6.4 + x = (16 + 0.20x)

Solving
6.4 + x = 16 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
6.4 + x + -0.20x = 16 + 0.20x + -0.20x

Combine like terms: x + -0.20x = 0.8x
6.4 + 0.8x = 16 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
6.4 + 0.8x = 16 + 0.00
6.4 + 0.8x = 16

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 0.8x = 16 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 0.8x = 16 + -6.4
0.8x = 16 + -6.4

Combine like terms: 16 + -6.4 = 9.6
0.8x = 9.6

Divide each side by '0.8'.
x = 12

Simplifying
x = 12

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