5*(r+5)=8*(r-9)

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Solution for 5*(r+5)=8*(r-9) equation: 


Simplifying
5(r + 5) = 8(r + -9)

Reorder the terms:
5(5 + r) = 8(r + -9)
(5 * 5 + r * 5) = 8(r + -9)
(25 + 5r) = 8(r + -9)

Reorder the terms:
25 + 5r = 8(-9 + r)
25 + 5r = (-9 * 8 + r * 8)
25 + 5r = (-72 + 8r)

Solving
25 + 5r = -72 + 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 = -72 + 8r + -8r

Combine like terms: 5r + -8r = -3r
25 + -3r = -72 + 8r + -8r

Combine like terms: 8r + -8r = 0
25 + -3r = -72 + 0
25 + -3r = -72

Add '-25' to each side of the equation.
25 + -25 + -3r = -72 + -25

Combine like terms: 25 + -25 = 0
0 + -3r = -72 + -25
-3r = -72 + -25

Combine like terms: -72 + -25 = -97
-3r = -97

Divide each side by '-3'.
r = 32.33333333

Simplifying
r = 32.33333333

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