3(r+5)=2(5+4r)

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Solution for 3(r+5)=2(5+4r) equation: 


Simplifying
3(r + 5) = 2(5 + 4r)

Reorder the terms:
3(5 + r) = 2(5 + 4r)
(5 * 3 + r * 3) = 2(5 + 4r)
(15 + 3r) = 2(5 + 4r)
15 + 3r = (5 * 2 + 4r * 2)
15 + 3r = (10 + 8r)

Solving
15 + 3r = 10 + 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.
15 + 3r + -8r = 10 + 8r + -8r

Combine like terms: 3r + -8r = -5r
15 + -5r = 10 + 8r + -8r

Combine like terms: 8r + -8r = 0
15 + -5r = 10 + 0
15 + -5r = 10

Add '-15' to each side of the equation.
15 + -15 + -5r = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -5r = 10 + -15
-5r = 10 + -15

Combine like terms: 10 + -15 = -5
-5r = -5

Divide each side by '-5'.
r = 1

Simplifying
r = 1

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