9r-8=6r+7

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Solution for 9r-8=6r+7 equation:


Simplifying
9r + -8 = 6r + 7

Reorder the terms:
-8 + 9r = 6r + 7

Reorder the terms:
-8 + 9r = 7 + 6r

Solving
-8 + 9r = 7 + 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.
-8 + 9r + -6r = 7 + 6r + -6r

Combine like terms: 9r + -6r = 3r
-8 + 3r = 7 + 6r + -6r

Combine like terms: 6r + -6r = 0
-8 + 3r = 7 + 0
-8 + 3r = 7

Add '8' to each side of the equation.
-8 + 8 + 3r = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3r = 7 + 8
3r = 7 + 8

Combine like terms: 7 + 8 = 15
3r = 15

Divide each side by '3'.
r = 5

Simplifying
r = 5

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