2r+5=3r+12

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Solution for 2r+5=3r+12 equation:


Simplifying
2r + 5 = 3r + 12

Reorder the terms:
5 + 2r = 3r + 12

Reorder the terms:
5 + 2r = 12 + 3r

Solving
5 + 2r = 12 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
5 + 2r + -3r = 12 + 3r + -3r

Combine like terms: 2r + -3r = -1r
5 + -1r = 12 + 3r + -3r

Combine like terms: 3r + -3r = 0
5 + -1r = 12 + 0
5 + -1r = 12

Add '-5' to each side of the equation.
5 + -5 + -1r = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -1r = 12 + -5
-1r = 12 + -5

Combine like terms: 12 + -5 = 7
-1r = 7

Divide each side by '-1'.
r = -7

Simplifying
r = -7

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