5r-20=r-2(r+1)

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Solution for 5r-20=r-2(r+1) equation:


Simplifying
5r + -20 = r + -2(r + 1)

Reorder the terms:
-20 + 5r = r + -2(r + 1)

Reorder the terms:
-20 + 5r = r + -2(1 + r)
-20 + 5r = r + (1 * -2 + r * -2)
-20 + 5r = r + (-2 + -2r)

Reorder the terms:
-20 + 5r = -2 + r + -2r

Combine like terms: r + -2r = -1r
-20 + 5r = -2 + -1r

Solving
-20 + 5r = -2 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-20 + 5r + r = -2 + -1r + r

Combine like terms: 5r + r = 6r
-20 + 6r = -2 + -1r + r

Combine like terms: -1r + r = 0
-20 + 6r = -2 + 0
-20 + 6r = -2

Add '20' to each side of the equation.
-20 + 20 + 6r = -2 + 20

Combine like terms: -20 + 20 = 0
0 + 6r = -2 + 20
6r = -2 + 20

Combine like terms: -2 + 20 = 18
6r = 18

Divide each side by '6'.
r = 3

Simplifying
r = 3

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