2r+3=r+1

Solution for 2r+3=r+1 equation:

Simplifying
2r + 3 = r + 1

Reorder the terms:
3 + 2r = r + 1

Reorder the terms:
3 + 2r = 1 + r

Solving
3 + 2r = 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.
3 + 2r + -1r = 1 + r + -1r

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

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

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

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

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

Divide each side by '1'.
r = -2

Simplifying
r = -2