3r(-5)=2(4r-9)

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Solution for 3r(-5)=2(4r-9) equation:


Simplifying
3r(-5) = 2(4r + -9)

Reorder the terms for easier multiplication:
3 * -5r = 2(4r + -9)

Multiply 3 * -5
-15r = 2(4r + -9)

Reorder the terms:
-15r = 2(-9 + 4r)
-15r = (-9 * 2 + 4r * 2)
-15r = (-18 + 8r)

Solving
-15r = -18 + 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.
-15r + -8r = -18 + 8r + -8r

Combine like terms: -15r + -8r = -23r
-23r = -18 + 8r + -8r

Combine like terms: 8r + -8r = 0
-23r = -18 + 0
-23r = -18

Divide each side by '-23'.
r = 0.7826086957

Simplifying
r = 0.7826086957

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