2(2r+3)=10r

Solution for 2(2r+3)=10r equation:

Simplifying
2(2r + 3) = 10r

Reorder the terms:
2(3 + 2r) = 10r
(3 * 2 + 2r * 2) = 10r
(6 + 4r) = 10r

Solving
6 + 4r = 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
6 + 4r + -10r = 10r + -10r

Combine like terms: 4r + -10r = -6r
6 + -6r = 10r + -10r

Combine like terms: 10r + -10r = 0
6 + -6r = 0

Add '-6' to each side of the equation.
6 + -6 + -6r = 0 + -6

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

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

Divide each side by '-6'.
r = 1

Simplifying
r = 1