(3r-1)+7=8r-(3-2r)

Solution for (3r-1)+7=8r-(3-2r) equation:

Simplifying
(3r + -1) + 7 = 8r + -1(3 + -2r)

Reorder the terms:
(-1 + 3r) + 7 = 8r + -1(3 + -2r)

Remove parenthesis around (-1 + 3r)
-1 + 3r + 7 = 8r + -1(3 + -2r)

Reorder the terms:
-1 + 7 + 3r = 8r + -1(3 + -2r)

Combine like terms: -1 + 7 = 6
6 + 3r = 8r + -1(3 + -2r)
6 + 3r = 8r + (3 * -1 + -2r * -1)
6 + 3r = 8r + (-3 + 2r)

Reorder the terms:
6 + 3r = -3 + 8r + 2r

Combine like terms: 8r + 2r = 10r
6 + 3r = -3 + 10r

Solving
6 + 3r = -3 + 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 + 3r + -10r = -3 + 10r + -10r

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

Combine like terms: 10r + -10r = 0
6 + -7r = -3 + 0
6 + -7r = -3

Add '-6' to each side of the equation.
6 + -6 + -7r = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -7r = -3 + -6
-7r = -3 + -6

Combine like terms: -3 + -6 = -9
-7r = -9

Divide each side by '-7'.
r = 1.285714286

Simplifying
r = 1.285714286