3(6-2r)=-4(r-5)

Simple and best practice solution for 3(6-2r)=-4(r-5) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3(6-2r)=-4(r-5) equation:


Simplifying
3(6 + -2r) = -4(r + -5)
(6 * 3 + -2r * 3) = -4(r + -5)
(18 + -6r) = -4(r + -5)

Reorder the terms:
18 + -6r = -4(-5 + r)
18 + -6r = (-5 * -4 + r * -4)
18 + -6r = (20 + -4r)

Solving
18 + -6r = 20 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
18 + -6r + 4r = 20 + -4r + 4r

Combine like terms: -6r + 4r = -2r
18 + -2r = 20 + -4r + 4r

Combine like terms: -4r + 4r = 0
18 + -2r = 20 + 0
18 + -2r = 20

Add '-18' to each side of the equation.
18 + -18 + -2r = 20 + -18

Combine like terms: 18 + -18 = 0
0 + -2r = 20 + -18
-2r = 20 + -18

Combine like terms: 20 + -18 = 2
-2r = 2

Divide each side by '-2'.
r = -1

Simplifying
r = -1

See similar equations:

| 15-3n=n-27 | | 10x-8=3x+13 | | X=100 | | 5x-3(2-3x)=7 | | 5x-7=3x+9 | | 4x+3=-20 | | 3x(2x+5)=8 | | 2x+(2x-3)+4=8 | | 3x-2(x+3)=x | | 3x-6=2x | | All equations | | 20-20x=20 | | 20-20x=19 | | 20-20x=18 | | 20-20x=17 | | 20-20x=16 | | 20-20x=15 | | 20-20x=14 | | 20-20x=13 | | 20-20x=12 | | 20-20x=11 | | 20-20x=10 | | 20-20x=9 | | 20-20x=8 | | 20-20x=7 | | 20-20x=6 | | 20-20x=5 | | 20-20x=4 | | 20-20x=3 | | 20-20x=2 | | 20-20x=1 | | 20-19x=20 |

Equations solver categories