5r+8=2r-7

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


Simplifying
5r + 8 = 2r + -7

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

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

Solving
8 + 5r = -7 + 2r

Solving for variable 'r'.

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

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

Combine like terms: 5r + -2r = 3r
8 + 3r = -7 + 2r + -2r

Combine like terms: 2r + -2r = 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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