2(r+8)+2r=3(r+7)

Solution for 2(r+8)+2r=3(r+7) equation:

Simplifying
2(r + 8) + 2r = 3(r + 7)

Reorder the terms:
2(8 + r) + 2r = 3(r + 7)
(8 * 2 + r * 2) + 2r = 3(r + 7)
(16 + 2r) + 2r = 3(r + 7)

Combine like terms: 2r + 2r = 4r
16 + 4r = 3(r + 7)

Reorder the terms:
16 + 4r = 3(7 + r)
16 + 4r = (7 * 3 + r * 3)
16 + 4r = (21 + 3r)

Solving
16 + 4r = 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.
16 + 4r + -3r = 21 + 3r + -3r

Combine like terms: 4r + -3r = 1r
16 + 1r = 21 + 3r + -3r

Combine like terms: 3r + -3r = 0
16 + 1r = 21 + 0
16 + 1r = 21

Add '-16' to each side of the equation.
16 + -16 + 1r = 21 + -16

Combine like terms: 16 + -16 = 0
0 + 1r = 21 + -16
1r = 21 + -16

Combine like terms: 21 + -16 = 5
1r = 5

Divide each side by '1'.
r = 5

Simplifying
r = 5