7+4r-5=9r+12-3r

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Solution for 7+4r-5=9r+12-3r equation: 


Simplifying
7 + 4r + -5 = 9r + 12 + -3r

Reorder the terms:
7 + -5 + 4r = 9r + 12 + -3r

Combine like terms: 7 + -5 = 2
2 + 4r = 9r + 12 + -3r

Reorder the terms:
2 + 4r = 12 + 9r + -3r

Combine like terms: 9r + -3r = 6r
2 + 4r = 12 + 6r

Solving
2 + 4r = 12 + 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.
2 + 4r + -6r = 12 + 6r + -6r

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

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

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

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

Combine like terms: 12 + -2 = 10
-2r = 10

Divide each side by '-2'.
r = -5

Simplifying
r = -5

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