9+2r-1=7r+23-2r

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Solution for 9+2r-1=7r+23-2r equation:


Simplifying
9 + 2r + -1 = 7r + 23 + -2r

Reorder the terms:
9 + -1 + 2r = 7r + 23 + -2r

Combine like terms: 9 + -1 = 8
8 + 2r = 7r + 23 + -2r

Reorder the terms:
8 + 2r = 23 + 7r + -2r

Combine like terms: 7r + -2r = 5r
8 + 2r = 23 + 5r

Solving
8 + 2r = 23 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
8 + 2r + -5r = 23 + 5r + -5r

Combine like terms: 2r + -5r = -3r
8 + -3r = 23 + 5r + -5r

Combine like terms: 5r + -5r = 0
8 + -3r = 23 + 0
8 + -3r = 23

Add '-8' to each side of the equation.
8 + -8 + -3r = 23 + -8

Combine like terms: 8 + -8 = 0
0 + -3r = 23 + -8
-3r = 23 + -8

Combine like terms: 23 + -8 = 15
-3r = 15

Divide each side by '-3'.
r = -5

Simplifying
r = -5

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