0.1(80)+0.5x=0.3(80+x)

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Solution for 0.1(80)+0.5x=0.3(80+x) equation: 


Simplifying
0.1(80) + 0.5x = 0.3(80 + x)

Multiply 0.1 * 80
8 + 0.5x = 0.3(80 + x)
8 + 0.5x = (80 * 0.3 + x * 0.3)
8 + 0.5x = (24 + 0.3x)

Solving
8 + 0.5x = 24 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
8 + 0.5x + -0.3x = 24 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
8 + 0.2x = 24 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
8 + 0.2x = 24 + 0.0
8 + 0.2x = 24

Add '-8' to each side of the equation.
8 + -8 + 0.2x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 0.2x = 24 + -8
0.2x = 24 + -8

Combine like terms: 24 + -8 = 16
0.2x = 16

Divide each side by '0.2'.
x = 80

Simplifying
x = 80

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