5r+25=8r-22

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Solution for 5r+25=8r-22 equation:


Simplifying
5r + 25 = 8r + -22

Reorder the terms:
25 + 5r = 8r + -22

Reorder the terms:
25 + 5r = -22 + 8r

Solving
25 + 5r = -22 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
25 + 5r + -8r = -22 + 8r + -8r

Combine like terms: 5r + -8r = -3r
25 + -3r = -22 + 8r + -8r

Combine like terms: 8r + -8r = 0
25 + -3r = -22 + 0
25 + -3r = -22

Add '-25' to each side of the equation.
25 + -25 + -3r = -22 + -25

Combine like terms: 25 + -25 = 0
0 + -3r = -22 + -25
-3r = -22 + -25

Combine like terms: -22 + -25 = -47
-3r = -47

Divide each side by '-3'.
r = 15.66666667

Simplifying
r = 15.66666667

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