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

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

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

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

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

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

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

Solving
2 + 6r = -5 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
2 + 6r + -5r = -5 + 5r + -5r

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

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

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

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

Combine like terms: -5 + -2 = -7
1r = -7

Divide each side by '1'.
r = -7

Simplifying
r = -7