5r+1=r+5

Solution for 5r+1=r+5 equation:

Simplifying
5r + 1 = r + 5

Reorder the terms:
1 + 5r = r + 5

Reorder the terms:
1 + 5r = 5 + r

Solving
1 + 5r = 5 + 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.
1 + 5r + -1r = 5 + r + -1r

Combine like terms: 5r + -1r = 4r
1 + 4r = 5 + r + -1r

Combine like terms: r + -1r = 0
1 + 4r = 5 + 0
1 + 4r = 5

Add '-1' to each side of the equation.
1 + -1 + 4r = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 4r = 5 + -1
4r = 5 + -1

Combine like terms: 5 + -1 = 4
4r = 4

Divide each side by '4'.
r = 1

Simplifying
r = 1