3(r-s)=5(2r+s)

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


Simplifying
3(r + -1s) = 5(2r + s)
(r * 3 + -1s * 3) = 5(2r + s)
(3r + -3s) = 5(2r + s)
3r + -3s = (2r * 5 + s * 5)
3r + -3s = (10r + 5s)

Solving
3r + -3s = 10r + 5s

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.
3r + -10r + -3s = 10r + -10r + 5s

Combine like terms: 3r + -10r = -7r
-7r + -3s = 10r + -10r + 5s

Combine like terms: 10r + -10r = 0
-7r + -3s = 0 + 5s
-7r + -3s = 5s

Add '3s' to each side of the equation.
-7r + -3s + 3s = 5s + 3s

Combine like terms: -3s + 3s = 0
-7r + 0 = 5s + 3s
-7r = 5s + 3s

Combine like terms: 5s + 3s = 8s
-7r = 8s

Divide each side by '-7'.
r = -1.142857143s

Simplifying
r = -1.142857143s

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