2r+3=5r-15

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Solution for 2r+3=5r-15 equation:


Simplifying
2r + 3 = 5r + -15

Reorder the terms:
3 + 2r = 5r + -15

Reorder the terms:
3 + 2r = -15 + 5r

Solving
3 + 2r = -15 + 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.
3 + 2r + -5r = -15 + 5r + -5r

Combine like terms: 2r + -5r = -3r
3 + -3r = -15 + 5r + -5r

Combine like terms: 5r + -5r = 0
3 + -3r = -15 + 0
3 + -3r = -15

Add '-3' to each side of the equation.
3 + -3 + -3r = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -3r = -15 + -3
-3r = -15 + -3

Combine like terms: -15 + -3 = -18
-3r = -18

Divide each side by '-3'.
r = 6

Simplifying
r = 6

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