.5x+80(.2)=.40(x+80)

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Solution for .5x+80(.2)=.40(x+80) equation: 


Simplifying
0.5x + 80(0.2) = 0.40(x + 80)

Multiply 80 * 0.2
0.5x + 16 = 0.40(x + 80)

Reorder the terms:
16 + 0.5x = 0.40(x + 80)

Reorder the terms:
16 + 0.5x = 0.40(80 + x)
16 + 0.5x = (80 * 0.40 + x * 0.40)
16 + 0.5x = (32 + 0.40x)

Solving
16 + 0.5x = 32 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
16 + 0.5x + -0.40x = 32 + 0.40x + -0.40x

Combine like terms: 0.5x + -0.40x = 0.1x
16 + 0.1x = 32 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
16 + 0.1x = 32 + 0.00
16 + 0.1x = 32

Add '-16' to each side of the equation.
16 + -16 + 0.1x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + 0.1x = 32 + -16
0.1x = 32 + -16

Combine like terms: 32 + -16 = 16
0.1x = 16

Divide each side by '0.1'.
x = 160

Simplifying
x = 160

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