.90x+.20(100)=.80(x+100)

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Solution for .90x+.20(100)=.80(x+100) equation: 


Simplifying
0.90x + 0.20(100) = 0.80(x + 100)

Multiply 0.20 * 100
0.90x + 20 = 0.80(x + 100)

Reorder the terms:
20 + 0.90x = 0.80(x + 100)

Reorder the terms:
20 + 0.90x = 0.80(100 + x)
20 + 0.90x = (100 * 0.80 + x * 0.80)
20 + 0.90x = (80 + 0.80x)

Solving
20 + 0.90x = 80 + 0.80x

Solving for variable 'x'.

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

Add '-0.80x' to each side of the equation.
20 + 0.90x + -0.80x = 80 + 0.80x + -0.80x

Combine like terms: 0.90x + -0.80x = 0.1x
20 + 0.1x = 80 + 0.80x + -0.80x

Combine like terms: 0.80x + -0.80x = 0.00
20 + 0.1x = 80 + 0.00
20 + 0.1x = 80

Add '-20' to each side of the equation.
20 + -20 + 0.1x = 80 + -20

Combine like terms: 20 + -20 = 0
0 + 0.1x = 80 + -20
0.1x = 80 + -20

Combine like terms: 80 + -20 = 60
0.1x = 60

Divide each side by '0.1'.
x = 600

Simplifying
x = 600

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