3r+6=5r+12

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Solution for 3r+6=5r+12 equation:


Simplifying
3r + 6 = 5r + 12

Reorder the terms:
6 + 3r = 5r + 12

Reorder the terms:
6 + 3r = 12 + 5r

Solving
6 + 3r = 12 + 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.
6 + 3r + -5r = 12 + 5r + -5r

Combine like terms: 3r + -5r = -2r
6 + -2r = 12 + 5r + -5r

Combine like terms: 5r + -5r = 0
6 + -2r = 12 + 0
6 + -2r = 12

Add '-6' to each side of the equation.
6 + -6 + -2r = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = 12 + -6
-2r = 12 + -6

Combine like terms: 12 + -6 = 6
-2r = 6

Divide each side by '-2'.
r = -3

Simplifying
r = -3

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