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

Simple and best practice solution for 5(r-3)+6r=3(2-r) 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 5(r-3)+6r=3(2-r) equation:


Simplifying
5(r + -3) + 6r = 3(2 + -1r)

Reorder the terms:
5(-3 + r) + 6r = 3(2 + -1r)
(-3 * 5 + r * 5) + 6r = 3(2 + -1r)
(-15 + 5r) + 6r = 3(2 + -1r)

Combine like terms: 5r + 6r = 11r
-15 + 11r = 3(2 + -1r)
-15 + 11r = (2 * 3 + -1r * 3)
-15 + 11r = (6 + -3r)

Solving
-15 + 11r = 6 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
-15 + 11r + 3r = 6 + -3r + 3r

Combine like terms: 11r + 3r = 14r
-15 + 14r = 6 + -3r + 3r

Combine like terms: -3r + 3r = 0
-15 + 14r = 6 + 0
-15 + 14r = 6

Add '15' to each side of the equation.
-15 + 15 + 14r = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 14r = 6 + 15
14r = 6 + 15

Combine like terms: 6 + 15 = 21
14r = 21

Divide each side by '14'.
r = 1.5

Simplifying
r = 1.5

See similar equations:

| 5x+34=4x+10 | | 5x+34=4x-10 | | 2x+7+x+1=29 | | 5(m+3)=2(m-3) | | 5+(5)+(17-3-7)= | | 3+(5)+(17-3-7)= | | 4(2x+9y)=7(5+y-3x) | | 13(x-6)=2x-155 | | 3*2*x=24 | | 2*4*x=24 | | 3+(x)+(17-3-x)= | | 2x^2+x+-1=0 | | X+1.5X+(X+5)=110 | | x^2+3y^2=19+2xy | | 3(2x+5)=-7(x-8) | | 4x-2x^2-x^3=0 | | 5p=17 | | Tanx=0.625 | | 16=3+7x-8 | | x^2-x-181=0 | | -6x-2-3= | | -6-2-3= | | 2(x+3)=7x-24 | | -4n=6(6-n) | | 10+8p-4+2p= | | 0=9x^2-6x^3 | | -313.44-(-3.08)= | | 10x+70=10x+70 | | 7+2z-5=8z+4-5z | | 3(2x+1)=2x+7 | | 7+19s-1=9s+22-6s | | 5.31x-6.11=2.75x+9.85 |

Equations solver categories