10+5r-4=3r+2

Solution for 10+5r-4=3r+2 equation:

Simplifying
10 + 5r + -4 = 3r + 2

Reorder the terms:
10 + -4 + 5r = 3r + 2

Combine like terms: 10 + -4 = 6
6 + 5r = 3r + 2

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

Solving
6 + 5r = 2 + 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.
6 + 5r + -3r = 2 + 3r + -3r

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

Combine like terms: 3r + -3r = 0
6 + 2r = 2 + 0
6 + 2r = 2

Add '-6' to each side of the equation.
6 + -6 + 2r = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 2r = 2 + -6
2r = 2 + -6

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

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

Simplifying
r = -2