3(2r-1)+5=(r+1)

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

Simplifying
3(2r + -1) + 5 = (r + 1)

Reorder the terms:
3(-1 + 2r) + 5 = (r + 1)
(-1 * 3 + 2r * 3) + 5 = (r + 1)
(-3 + 6r) + 5 = (r + 1)

Reorder the terms:
-3 + 5 + 6r = (r + 1)

Combine like terms: -3 + 5 = 2
2 + 6r = (r + 1)

Reorder the terms:
2 + 6r = (1 + r)

Remove parenthesis around (1 + r)
2 + 6r = 1 + r

Solving
2 + 6r = 1 + 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.
2 + 6r + -1r = 1 + r + -1r

Combine like terms: 6r + -1r = 5r
2 + 5r = 1 + r + -1r

Combine like terms: r + -1r = 0
2 + 5r = 1 + 0
2 + 5r = 1

Add '-2' to each side of the equation.
2 + -2 + 5r = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 5r = 1 + -2
5r = 1 + -2

Combine like terms: 1 + -2 = -1
5r = -1

Divide each side by '5'.
r = -0.2

Simplifying
r = -0.2