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

Reorder the terms:
-5 + 3r = 2(-9 + -4r)
-5 + 3r = (-9 * 2 + -4r * 2)
-5 + 3r = (-18 + -8r)

Solving
-5 + 3r = -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.
-5 + 3r + 8r = -18 + -8r + 8r

Combine like terms: 3r + 8r = 11r
-5 + 11r = -18 + -8r + 8r

Combine like terms: -8r + 8r = 0
-5 + 11r = -18 + 0
-5 + 11r = -18

Add '5' to each side of the equation.
-5 + 5 + 11r = -18 + 5

Combine like terms: -5 + 5 = 0
0 + 11r = -18 + 5
11r = -18 + 5

Combine like terms: -18 + 5 = -13
11r = -13

Divide each side by '11'.
r = -1.181818182

Simplifying
r = -1.181818182

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