(2r-2)+(3r+1)=8

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Solution for (2r-2)+(3r+1)=8 equation:


Simplifying
(2r + -2) + (3r + 1) = 8

Reorder the terms:
(-2 + 2r) + (3r + 1) = 8

Remove parenthesis around (-2 + 2r)
-2 + 2r + (3r + 1) = 8

Reorder the terms:
-2 + 2r + (1 + 3r) = 8

Remove parenthesis around (1 + 3r)
-2 + 2r + 1 + 3r = 8

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

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

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

Solving
-1 + 5r = 8

Solving for variable 'r'.

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

Add '1' to each side of the equation.
-1 + 1 + 5r = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 5r = 8 + 1
5r = 8 + 1

Combine like terms: 8 + 1 = 9
5r = 9

Divide each side by '5'.
r = 1.8

Simplifying
r = 1.8

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