3r-7=8r+13

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Solution for 3r-7=8r+13 equation:


Simplifying
3r + -7 = 8r + 13

Reorder the terms:
-7 + 3r = 8r + 13

Reorder the terms:
-7 + 3r = 13 + 8r

Solving
-7 + 3r = 13 + 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.
-7 + 3r + -8r = 13 + 8r + -8r

Combine like terms: 3r + -8r = -5r
-7 + -5r = 13 + 8r + -8r

Combine like terms: 8r + -8r = 0
-7 + -5r = 13 + 0
-7 + -5r = 13

Add '7' to each side of the equation.
-7 + 7 + -5r = 13 + 7

Combine like terms: -7 + 7 = 0
0 + -5r = 13 + 7
-5r = 13 + 7

Combine like terms: 13 + 7 = 20
-5r = 20

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

Simplifying
r = -4

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