5(r-3)=r-21+2r

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Solution for 5(r-3)=r-21+2r equation:


Simplifying
5(r + -3) = r + -21 + 2r

Reorder the terms:
5(-3 + r) = r + -21 + 2r
(-3 * 5 + r * 5) = r + -21 + 2r
(-15 + 5r) = r + -21 + 2r

Reorder the terms:
-15 + 5r = -21 + r + 2r

Combine like terms: r + 2r = 3r
-15 + 5r = -21 + 3r

Solving
-15 + 5r = -21 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-15 + 5r + -3r = -21 + 3r + -3r

Combine like terms: 5r + -3r = 2r
-15 + 2r = -21 + 3r + -3r

Combine like terms: 3r + -3r = 0
-15 + 2r = -21 + 0
-15 + 2r = -21

Add '15' to each side of the equation.
-15 + 15 + 2r = -21 + 15

Combine like terms: -15 + 15 = 0
0 + 2r = -21 + 15
2r = -21 + 15

Combine like terms: -21 + 15 = -6
2r = -6

Divide each side by '2'.
r = -3

Simplifying
r = -3

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