5r-8=2r+10

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Solution for 5r-8=2r+10 equation:


Simplifying
5r + -8 = 2r + 10

Reorder the terms:
-8 + 5r = 2r + 10

Reorder the terms:
-8 + 5r = 10 + 2r

Solving
-8 + 5r = 10 + 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 = 10 + 2r + -2r

Combine like terms: 5r + -2r = 3r
-8 + 3r = 10 + 2r + -2r

Combine like terms: 2r + -2r = 0
-8 + 3r = 10 + 0
-8 + 3r = 10

Add '8' to each side of the equation.
-8 + 8 + 3r = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 3r = 10 + 8
3r = 10 + 8

Combine like terms: 10 + 8 = 18
3r = 18

Divide each side by '3'.
r = 6

Simplifying
r = 6

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