5r+3=6(r-2)

Solution for 5r+3=6(r-2) equation:

Simplifying
5r + 3 = 6(r + -2)

Reorder the terms:
3 + 5r = 6(r + -2)

Reorder the terms:
3 + 5r = 6(-2 + r)
3 + 5r = (-2 * 6 + r * 6)
3 + 5r = (-12 + 6r)

Solving
3 + 5r = -12 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
3 + 5r + -6r = -12 + 6r + -6r

Combine like terms: 5r + -6r = -1r
3 + -1r = -12 + 6r + -6r

Combine like terms: 6r + -6r = 0
3 + -1r = -12 + 0
3 + -1r = -12

Add '-3' to each side of the equation.
3 + -3 + -1r = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -1r = -12 + -3
-1r = -12 + -3

Combine like terms: -12 + -3 = -15
-1r = -15

Divide each side by '-1'.
r = 15

Simplifying
r = 15