12+4r=7r+3-r

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Solution for 12+4r=7r+3-r equation:


Simplifying
12 + 4r = 7r + 3 + -1r

Reorder the terms:
12 + 4r = 3 + 7r + -1r

Combine like terms: 7r + -1r = 6r
12 + 4r = 3 + 6r

Solving
12 + 4r = 3 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
12 + 4r + -6r = 3 + 6r + -6r

Combine like terms: 4r + -6r = -2r
12 + -2r = 3 + 6r + -6r

Combine like terms: 6r + -6r = 0
12 + -2r = 3 + 0
12 + -2r = 3

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

Combine like terms: 12 + -12 = 0
0 + -2r = 3 + -12
-2r = 3 + -12

Combine like terms: 3 + -12 = -9
-2r = -9

Divide each side by '-2'.
r = 4.5

Simplifying
r = 4.5

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