.2(50)+.8r=.4(50+r)

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Solution for .2(50)+.8r=.4(50+r) equation: 


Simplifying
0.2(50) + 0.8r = 0.4(50 + r)

Multiply 0.2 * 50
10 + 0.8r = 0.4(50 + r)
10 + 0.8r = (50 * 0.4 + r * 0.4)
10 + 0.8r = (20 + 0.4r)

Solving
10 + 0.8r = 20 + 0.4r

Solving for variable 'r'.

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

Add '-0.4r' to each side of the equation.
10 + 0.8r + -0.4r = 20 + 0.4r + -0.4r

Combine like terms: 0.8r + -0.4r = 0.4r
10 + 0.4r = 20 + 0.4r + -0.4r

Combine like terms: 0.4r + -0.4r = 0.0
10 + 0.4r = 20 + 0.0
10 + 0.4r = 20

Add '-10' to each side of the equation.
10 + -10 + 0.4r = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 0.4r = 20 + -10
0.4r = 20 + -10

Combine like terms: 20 + -10 = 10
0.4r = 10

Divide each side by '0.4'.
r = 25

Simplifying
r = 25

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