3r+2(5r-3)=7

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

Simplifying
3r + 2(5r + -3) = 7

Reorder the terms:
3r + 2(-3 + 5r) = 7
3r + (-3 * 2 + 5r * 2) = 7
3r + (-6 + 10r) = 7

Reorder the terms:
-6 + 3r + 10r = 7

Combine like terms: 3r + 10r = 13r
-6 + 13r = 7

Solving
-6 + 13r = 7

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 6 + 13r = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 13r = 7 + 6
13r = 7 + 6

Combine like terms: 7 + 6 = 13
13r = 13

Divide each side by '13'.
r = 1

Simplifying
r = 1