3r+18=5r-40

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Solution for 3r+18=5r-40 equation:


Simplifying
3r + 18 = 5r + -40

Reorder the terms:
18 + 3r = 5r + -40

Reorder the terms:
18 + 3r = -40 + 5r

Solving
18 + 3r = -40 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
18 + 3r + -5r = -40 + 5r + -5r

Combine like terms: 3r + -5r = -2r
18 + -2r = -40 + 5r + -5r

Combine like terms: 5r + -5r = 0
18 + -2r = -40 + 0
18 + -2r = -40

Add '-18' to each side of the equation.
18 + -18 + -2r = -40 + -18

Combine like terms: 18 + -18 = 0
0 + -2r = -40 + -18
-2r = -40 + -18

Combine like terms: -40 + -18 = -58
-2r = -58

Divide each side by '-2'.
r = 29

Simplifying
r = 29

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