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

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

Simplifying
3(2r + -5) + -2(r + 3) = 0

Reorder the terms:
3(-5 + 2r) + -2(r + 3) = 0
(-5 * 3 + 2r * 3) + -2(r + 3) = 0
(-15 + 6r) + -2(r + 3) = 0

Reorder the terms:
-15 + 6r + -2(3 + r) = 0
-15 + 6r + (3 * -2 + r * -2) = 0
-15 + 6r + (-6 + -2r) = 0

Reorder the terms:
-15 + -6 + 6r + -2r = 0

Combine like terms: -15 + -6 = -21
-21 + 6r + -2r = 0

Combine like terms: 6r + -2r = 4r
-21 + 4r = 0

Solving
-21 + 4r = 0

Solving for variable 'r'.

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

Add '21' to each side of the equation.
-21 + 21 + 4r = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 4r = 0 + 21
4r = 0 + 21

Combine like terms: 0 + 21 = 21
4r = 21

Divide each side by '4'.
r = 5.25

Simplifying
r = 5.25