5r+4=8r-5

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Solution for 5r+4=8r-5 equation:


Simplifying
5r + 4 = 8r + -5

Reorder the terms:
4 + 5r = 8r + -5

Reorder the terms:
4 + 5r = -5 + 8r

Solving
4 + 5r = -5 + 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.
4 + 5r + -8r = -5 + 8r + -8r

Combine like terms: 5r + -8r = -3r
4 + -3r = -5 + 8r + -8r

Combine like terms: 8r + -8r = 0
4 + -3r = -5 + 0
4 + -3r = -5

Add '-4' to each side of the equation.
4 + -4 + -3r = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -3r = -5 + -4
-3r = -5 + -4

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

Divide each side by '-3'.
r = 3

Simplifying
r = 3

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