5r-(r+2)=3(r-1)+6

Solution for 5r-(r+2)=3(r-1)+6 equation:

Simplifying
5r + -1(r + 2) = 3(r + -1) + 6

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

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

Combine like terms: 5r + -1r = 4r
-2 + 4r = 3(r + -1) + 6

Reorder the terms:
-2 + 4r = 3(-1 + r) + 6
-2 + 4r = (-1 * 3 + r * 3) + 6
-2 + 4r = (-3 + 3r) + 6

Reorder the terms:
-2 + 4r = -3 + 6 + 3r

Combine like terms: -3 + 6 = 3
-2 + 4r = 3 + 3r

Solving
-2 + 4r = 3 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-2 + 4r + -3r = 3 + 3r + -3r

Combine like terms: 4r + -3r = 1r
-2 + 1r = 3 + 3r + -3r

Combine like terms: 3r + -3r = 0
-2 + 1r = 3 + 0
-2 + 1r = 3

Add '2' to each side of the equation.
-2 + 2 + 1r = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 1r = 3 + 2
1r = 3 + 2

Combine like terms: 3 + 2 = 5
1r = 5

Divide each side by '1'.
r = 5

Simplifying
r = 5