3+2r-1=8r+7-5r

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Solution for 3+2r-1=8r+7-5r equation: 


Simplifying
3 + 2r + -1 = 8r + 7 + -5r

Reorder the terms:
3 + -1 + 2r = 8r + 7 + -5r

Combine like terms: 3 + -1 = 2
2 + 2r = 8r + 7 + -5r

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

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

Solving
2 + 2r = 7 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
2 + 2r + -3r = 7 + 3r + -3r

Combine like terms: 2r + -3r = -1r
2 + -1r = 7 + 3r + -3r

Combine like terms: 3r + -3r = 0
2 + -1r = 7 + 0
2 + -1r = 7

Add '-2' to each side of the equation.
2 + -2 + -1r = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 7 + -2
-1r = 7 + -2

Combine like terms: 7 + -2 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5

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