3r-8=5r-12

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Solution for 3r-8=5r-12 equation:


Simplifying
3r + -8 = 5r + -12

Reorder the terms:
-8 + 3r = 5r + -12

Reorder the terms:
-8 + 3r = -12 + 5r

Solving
-8 + 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.
-8 + 3r + -5r = -12 + 5r + -5r

Combine like terms: 3r + -5r = -2r
-8 + -2r = -12 + 5r + -5r

Combine like terms: 5r + -5r = 0
-8 + -2r = -12 + 0
-8 + -2r = -12

Add '8' to each side of the equation.
-8 + 8 + -2r = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -2r = -12 + 8
-2r = -12 + 8

Combine like terms: -12 + 8 = -4
-2r = -4

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

Simplifying
r = 2

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