2(r-3)=4(-3r-5)

Solution for 2(r-3)=4(-3r-5) equation:

Simplifying
2(r + -3) = 4(-3r + -5)

Reorder the terms:
2(-3 + r) = 4(-3r + -5)
(-3 * 2 + r * 2) = 4(-3r + -5)
(-6 + 2r) = 4(-3r + -5)

Reorder the terms:
-6 + 2r = 4(-5 + -3r)
-6 + 2r = (-5 * 4 + -3r * 4)
-6 + 2r = (-20 + -12r)

Solving
-6 + 2r = -20 + -12r

Solving for variable 'r'.

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

Add '12r' to each side of the equation.
-6 + 2r + 12r = -20 + -12r + 12r

Combine like terms: 2r + 12r = 14r
-6 + 14r = -20 + -12r + 12r

Combine like terms: -12r + 12r = 0
-6 + 14r = -20 + 0
-6 + 14r = -20

Add '6' to each side of the equation.
-6 + 6 + 14r = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 14r = -20 + 6
14r = -20 + 6

Combine like terms: -20 + 6 = -14
14r = -14

Divide each side by '14'.
r = -1

Simplifying
r = -1