6+2r-3=5r+4-2r

Solution for 6+2r-3=5r+4-2r equation:

Simplifying
6 + 2r + -3 = 5r + 4 + -2r

Reorder the terms:
6 + -3 + 2r = 5r + 4 + -2r

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

Reorder the terms:
3 + 2r = 4 + 5r + -2r

Combine like terms: 5r + -2r = 3r
3 + 2r = 4 + 3r

Solving
3 + 2r = 4 + 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.
3 + 2r + -3r = 4 + 3r + -3r

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

Combine like terms: 3r + -3r = 0
3 + -1r = 4 + 0
3 + -1r = 4

Add '-3' to each side of the equation.
3 + -3 + -1r = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -1r = 4 + -3
-1r = 4 + -3

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

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

Simplifying
r = -1