2(r+3)=r+7

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

Simplifying
2(r + 3) = r + 7

Reorder the terms:
2(3 + r) = r + 7
(3 * 2 + r * 2) = r + 7
(6 + 2r) = r + 7

Reorder the terms:
6 + 2r = 7 + r

Solving
6 + 2r = 7 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
6 + 2r + -1r = 7 + r + -1r

Combine like terms: 2r + -1r = 1r
6 + 1r = 7 + r + -1r

Combine like terms: r + -1r = 0
6 + 1r = 7 + 0
6 + 1r = 7

Add '-6' to each side of the equation.
6 + -6 + 1r = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1r = 7 + -6
1r = 7 + -6

Combine like terms: 7 + -6 = 1
1r = 1

Divide each side by '1'.
r = 1

Simplifying
r = 1