2r+2=3r-5

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Solution for 2r+2=3r-5 equation: 


Simplifying
2r + 2 = 3r + -5

Reorder the terms:
2 + 2r = 3r + -5

Reorder the terms:
2 + 2r = -5 + 3r

Solving
2 + 2r = -5 + 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 = -5 + 3r + -3r

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

Combine like terms: 3r + -3r = 0
2 + -1r = -5 + 0
2 + -1r = -5

Add '-2' to each side of the equation.
2 + -2 + -1r = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = -5 + -2
-1r = -5 + -2

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

Divide each side by '-1'.
r = 7

Simplifying
r = 7

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