3r-3+4r-12=2r+10

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Solution for 3r-3+4r-12=2r+10 equation: 


Simplifying
3r + -3 + 4r + -12 = 2r + 10

Reorder the terms:
-3 + -12 + 3r + 4r = 2r + 10

Combine like terms: -3 + -12 = -15
-15 + 3r + 4r = 2r + 10

Combine like terms: 3r + 4r = 7r
-15 + 7r = 2r + 10

Reorder the terms:
-15 + 7r = 10 + 2r

Solving
-15 + 7r = 10 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-15 + 7r + -2r = 10 + 2r + -2r

Combine like terms: 7r + -2r = 5r
-15 + 5r = 10 + 2r + -2r

Combine like terms: 2r + -2r = 0
-15 + 5r = 10 + 0
-15 + 5r = 10

Add '15' to each side of the equation.
-15 + 15 + 5r = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 5r = 10 + 15
5r = 10 + 15

Combine like terms: 10 + 15 = 25
5r = 25

Divide each side by '5'.
r = 5

Simplifying
r = 5

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