20(3r-27)=3(5r+45)

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Solution for 20(3r-27)=3(5r+45) equation:


Simplifying
20(3r + -27) = 3(5r + 45)

Reorder the terms:
20(-27 + 3r) = 3(5r + 45)
(-27 * 20 + 3r * 20) = 3(5r + 45)
(-540 + 60r) = 3(5r + 45)

Reorder the terms:
-540 + 60r = 3(45 + 5r)
-540 + 60r = (45 * 3 + 5r * 3)
-540 + 60r = (135 + 15r)

Solving
-540 + 60r = 135 + 15r

Solving for variable 'r'.

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

Add '-15r' to each side of the equation.
-540 + 60r + -15r = 135 + 15r + -15r

Combine like terms: 60r + -15r = 45r
-540 + 45r = 135 + 15r + -15r

Combine like terms: 15r + -15r = 0
-540 + 45r = 135 + 0
-540 + 45r = 135

Add '540' to each side of the equation.
-540 + 540 + 45r = 135 + 540

Combine like terms: -540 + 540 = 0
0 + 45r = 135 + 540
45r = 135 + 540

Combine like terms: 135 + 540 = 675
45r = 675

Divide each side by '45'.
r = 15

Simplifying
r = 15

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