3r-11=7r+9

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Solution for 3r-11=7r+9 equation:


Simplifying
3r + -11 = 7r + 9

Reorder the terms:
-11 + 3r = 7r + 9

Reorder the terms:
-11 + 3r = 9 + 7r

Solving
-11 + 3r = 9 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-11 + 3r + -7r = 9 + 7r + -7r

Combine like terms: 3r + -7r = -4r
-11 + -4r = 9 + 7r + -7r

Combine like terms: 7r + -7r = 0
-11 + -4r = 9 + 0
-11 + -4r = 9

Add '11' to each side of the equation.
-11 + 11 + -4r = 9 + 11

Combine like terms: -11 + 11 = 0
0 + -4r = 9 + 11
-4r = 9 + 11

Combine like terms: 9 + 11 = 20
-4r = 20

Divide each side by '-4'.
r = -5

Simplifying
r = -5

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