(12-r)+(5-r)=13

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Solution for (12-r)+(5-r)=13 equation:


Simplifying
(12 + -1r) + (5 + -1r) = 13

Remove parenthesis around (12 + -1r)
12 + -1r + (5 + -1r) = 13

Remove parenthesis around (5 + -1r)
12 + -1r + 5 + -1r = 13

Reorder the terms:
12 + 5 + -1r + -1r = 13

Combine like terms: 12 + 5 = 17
17 + -1r + -1r = 13

Combine like terms: -1r + -1r = -2r
17 + -2r = 13

Solving
17 + -2r = 13

Solving for variable 'r'.

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

Add '-17' to each side of the equation.
17 + -17 + -2r = 13 + -17

Combine like terms: 17 + -17 = 0
0 + -2r = 13 + -17
-2r = 13 + -17

Combine like terms: 13 + -17 = -4
-2r = -4

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

Simplifying
r = 2

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