11(r+8)=10(r+9)

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Solution for 11(r+8)=10(r+9) equation: 


Simplifying
11(r + 8) = 10(r + 9)

Reorder the terms:
11(8 + r) = 10(r + 9)
(8 * 11 + r * 11) = 10(r + 9)
(88 + 11r) = 10(r + 9)

Reorder the terms:
88 + 11r = 10(9 + r)
88 + 11r = (9 * 10 + r * 10)
88 + 11r = (90 + 10r)

Solving
88 + 11r = 90 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
88 + 11r + -10r = 90 + 10r + -10r

Combine like terms: 11r + -10r = 1r
88 + 1r = 90 + 10r + -10r

Combine like terms: 10r + -10r = 0
88 + 1r = 90 + 0
88 + 1r = 90

Add '-88' to each side of the equation.
88 + -88 + 1r = 90 + -88

Combine like terms: 88 + -88 = 0
0 + 1r = 90 + -88
1r = 90 + -88

Combine like terms: 90 + -88 = 2
1r = 2

Divide each side by '1'.
r = 2

Simplifying
r = 2

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