2r-5=8r+7

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Solution for 2r-5=8r+7 equation:


Simplifying
2r + -5 = 8r + 7

Reorder the terms:
-5 + 2r = 8r + 7

Reorder the terms:
-5 + 2r = 7 + 8r

Solving
-5 + 2r = 7 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-5 + 2r + -8r = 7 + 8r + -8r

Combine like terms: 2r + -8r = -6r
-5 + -6r = 7 + 8r + -8r

Combine like terms: 8r + -8r = 0
-5 + -6r = 7 + 0
-5 + -6r = 7

Add '5' to each side of the equation.
-5 + 5 + -6r = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -6r = 7 + 5
-6r = 7 + 5

Combine like terms: 7 + 5 = 12
-6r = 12

Divide each side by '-6'.
r = -2

Simplifying
r = -2

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