3r-5=5(4r-9)

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Solution for 3r-5=5(4r-9) equation:


Simplifying
3r + -5 = 5(4r + -9)

Reorder the terms:
-5 + 3r = 5(4r + -9)

Reorder the terms:
-5 + 3r = 5(-9 + 4r)
-5 + 3r = (-9 * 5 + 4r * 5)
-5 + 3r = (-45 + 20r)

Solving
-5 + 3r = -45 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
-5 + 3r + -20r = -45 + 20r + -20r

Combine like terms: 3r + -20r = -17r
-5 + -17r = -45 + 20r + -20r

Combine like terms: 20r + -20r = 0
-5 + -17r = -45 + 0
-5 + -17r = -45

Add '5' to each side of the equation.
-5 + 5 + -17r = -45 + 5

Combine like terms: -5 + 5 = 0
0 + -17r = -45 + 5
-17r = -45 + 5

Combine like terms: -45 + 5 = -40
-17r = -40

Divide each side by '-17'.
r = 2.352941176

Simplifying
r = 2.352941176

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