3(r-2)+8=2r+20

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Solution for 3(r-2)+8=2r+20 equation:


Simplifying
3(r + -2) + 8 = 2r + 20

Reorder the terms:
3(-2 + r) + 8 = 2r + 20
(-2 * 3 + r * 3) + 8 = 2r + 20
(-6 + 3r) + 8 = 2r + 20

Reorder the terms:
-6 + 8 + 3r = 2r + 20

Combine like terms: -6 + 8 = 2
2 + 3r = 2r + 20

Reorder the terms:
2 + 3r = 20 + 2r

Solving
2 + 3r = 20 + 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.
2 + 3r + -2r = 20 + 2r + -2r

Combine like terms: 3r + -2r = 1r
2 + 1r = 20 + 2r + -2r

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

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

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

Combine like terms: 20 + -2 = 18
1r = 18

Divide each side by '1'.
r = 18

Simplifying
r = 18

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