2r+5=5r-13

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Solution for 2r+5=5r-13 equation:


Simplifying
2r + 5 = 5r + -13

Reorder the terms:
5 + 2r = 5r + -13

Reorder the terms:
5 + 2r = -13 + 5r

Solving
5 + 2r = -13 + 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.
5 + 2r + -5r = -13 + 5r + -5r

Combine like terms: 2r + -5r = -3r
5 + -3r = -13 + 5r + -5r

Combine like terms: 5r + -5r = 0
5 + -3r = -13 + 0
5 + -3r = -13

Add '-5' to each side of the equation.
5 + -5 + -3r = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -3r = -13 + -5
-3r = -13 + -5

Combine like terms: -13 + -5 = -18
-3r = -18

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

Simplifying
r = 6

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