4r+3=10r+6

Solution for 4r+3=10r+6 equation:

Simplifying
4r + 3 = 10r + 6

Reorder the terms:
3 + 4r = 10r + 6

Reorder the terms:
3 + 4r = 6 + 10r

Solving
3 + 4r = 6 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
3 + 4r + -10r = 6 + 10r + -10r

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

Combine like terms: 10r + -10r = 0
3 + -6r = 6 + 0
3 + -6r = 6

Add '-3' to each side of the equation.
3 + -3 + -6r = 6 + -3

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

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

Divide each side by '-6'.
r = -0.5

Simplifying
r = -0.5