4r+3=2r+1

Solution for 4r+3=2r+1 equation:

Simplifying
4r + 3 = 2r + 1

Reorder the terms:
3 + 4r = 2r + 1

Reorder the terms:
3 + 4r = 1 + 2r

Solving
3 + 4r = 1 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
3 + 4r + -2r = 1 + 2r + -2r

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

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

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

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

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

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

Simplifying
r = -1