5r-11=2r-19

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Solution for 5r-11=2r-19 equation:


Simplifying
5r + -11 = 2r + -19

Reorder the terms:
-11 + 5r = 2r + -19

Reorder the terms:
-11 + 5r = -19 + 2r

Solving
-11 + 5r = -19 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-11 + 5r + -2r = -19 + 2r + -2r

Combine like terms: 5r + -2r = 3r
-11 + 3r = -19 + 2r + -2r

Combine like terms: 2r + -2r = 0
-11 + 3r = -19 + 0
-11 + 3r = -19

Add '11' to each side of the equation.
-11 + 11 + 3r = -19 + 11

Combine like terms: -11 + 11 = 0
0 + 3r = -19 + 11
3r = -19 + 11

Combine like terms: -19 + 11 = -8
3r = -8

Divide each side by '3'.
r = -2.666666667

Simplifying
r = -2.666666667

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