0.05(80)+0.4x=0.2(80+x)

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Solution for 0.05(80)+0.4x=0.2(80+x) equation: 


Simplifying
0.05(80) + 0.4x = 0.2(80 + x)

Multiply 0.05 * 80
4 + 0.4x = 0.2(80 + x)
4 + 0.4x = (80 * 0.2 + x * 0.2)
4 + 0.4x = (16 + 0.2x)

Solving
4 + 0.4x = 16 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
4 + 0.4x + -0.2x = 16 + 0.2x + -0.2x

Combine like terms: 0.4x + -0.2x = 0.2x
4 + 0.2x = 16 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
4 + 0.2x = 16 + 0.0
4 + 0.2x = 16

Add '-4' to each side of the equation.
4 + -4 + 0.2x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 0.2x = 16 + -4
0.2x = 16 + -4

Combine like terms: 16 + -4 = 12
0.2x = 12

Divide each side by '0.2'.
x = 60

Simplifying
x = 60

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