120=3r+5(1+4r)

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Solution for 120=3r+5(1+4r) equation:


Simplifying
120 = 3r + 5(1 + 4r)
120 = 3r + (1 * 5 + 4r * 5)
120 = 3r + (5 + 20r)

Reorder the terms:
120 = 5 + 3r + 20r

Combine like terms: 3r + 20r = 23r
120 = 5 + 23r

Solving
120 = 5 + 23r

Solving for variable 'r'.

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

Add '-23r' to each side of the equation.
120 + -23r = 5 + 23r + -23r

Combine like terms: 23r + -23r = 0
120 + -23r = 5 + 0
120 + -23r = 5

Add '-120' to each side of the equation.
120 + -120 + -23r = 5 + -120

Combine like terms: 120 + -120 = 0
0 + -23r = 5 + -120
-23r = 5 + -120

Combine like terms: 5 + -120 = -115
-23r = -115

Divide each side by '-23'.
r = 5

Simplifying
r = 5

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