5r-22=3r+14

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Solution for 5r-22=3r+14 equation:


Simplifying
5r + -22 = 3r + 14

Reorder the terms:
-22 + 5r = 3r + 14

Reorder the terms:
-22 + 5r = 14 + 3r

Solving
-22 + 5r = 14 + 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.
-22 + 5r + -3r = 14 + 3r + -3r

Combine like terms: 5r + -3r = 2r
-22 + 2r = 14 + 3r + -3r

Combine like terms: 3r + -3r = 0
-22 + 2r = 14 + 0
-22 + 2r = 14

Add '22' to each side of the equation.
-22 + 22 + 2r = 14 + 22

Combine like terms: -22 + 22 = 0
0 + 2r = 14 + 22
2r = 14 + 22

Combine like terms: 14 + 22 = 36
2r = 36

Divide each side by '2'.
r = 18

Simplifying
r = 18

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