5(1+3r)+7=5r+3(2r+8)

Solution for 5(1+3r)+7=5r+3(2r+8) equation:

Simplifying
5(1 + 3r) + 7 = 5r + 3(2r + 8)
(1 * 5 + 3r * 5) + 7 = 5r + 3(2r + 8)
(5 + 15r) + 7 = 5r + 3(2r + 8)

Reorder the terms:
5 + 7 + 15r = 5r + 3(2r + 8)

Combine like terms: 5 + 7 = 12
12 + 15r = 5r + 3(2r + 8)

Reorder the terms:
12 + 15r = 5r + 3(8 + 2r)
12 + 15r = 5r + (8 * 3 + 2r * 3)
12 + 15r = 5r + (24 + 6r)

Reorder the terms:
12 + 15r = 24 + 5r + 6r

Combine like terms: 5r + 6r = 11r
12 + 15r = 24 + 11r

Solving
12 + 15r = 24 + 11r

Solving for variable 'r'.

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

Add '-11r' to each side of the equation.
12 + 15r + -11r = 24 + 11r + -11r

Combine like terms: 15r + -11r = 4r
12 + 4r = 24 + 11r + -11r

Combine like terms: 11r + -11r = 0
12 + 4r = 24 + 0
12 + 4r = 24

Add '-12' to each side of the equation.
12 + -12 + 4r = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 4r = 24 + -12
4r = 24 + -12

Combine like terms: 24 + -12 = 12
4r = 12

Divide each side by '4'.
r = 3

Simplifying
r = 3