-3(r+7)=2(4r-5)

Simple and best practice solution for -3(r+7)=2(4r-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(r+7)=2(4r-5) equation:


Simplifying
-3(r + 7) = 2(4r + -5)

Reorder the terms:
-3(7 + r) = 2(4r + -5)
(7 * -3 + r * -3) = 2(4r + -5)
(-21 + -3r) = 2(4r + -5)

Reorder the terms:
-21 + -3r = 2(-5 + 4r)
-21 + -3r = (-5 * 2 + 4r * 2)
-21 + -3r = (-10 + 8r)

Solving
-21 + -3r = -10 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-21 + -3r + -8r = -10 + 8r + -8r

Combine like terms: -3r + -8r = -11r
-21 + -11r = -10 + 8r + -8r

Combine like terms: 8r + -8r = 0
-21 + -11r = -10 + 0
-21 + -11r = -10

Add '21' to each side of the equation.
-21 + 21 + -11r = -10 + 21

Combine like terms: -21 + 21 = 0
0 + -11r = -10 + 21
-11r = -10 + 21

Combine like terms: -10 + 21 = 11
-11r = 11

Divide each side by '-11'.
r = -1

Simplifying
r = -1

See similar equations:

| y+31=21 | | -6x=-40+4x | | 113-2x=16x+21 | | p^2+6p+14= | | -6+3(-3x-3)=-2(5x+2) | | 2(3-2w)=10 | | 5(a-3)=5-3a | | 6768y-8767=67656 | | -10(5x-1)=35 | | x^2+82x=0 | | 6(n+3)=-2(-2n+3) | | 2(3-2)=10 | | 7x+5x+18=180 | | 7x-13=5x-1 | | 9p^2+7p-8=0 | | 114s+-14s+12s=12 | | 4y^2-4y^3-7y^2+7y^3= | | x-14=30 | | -43-2=5-10x | | 3x^2+30x=15 | | -3x+8=0 | | 6(w-1)-(-7w-7)=12w | | 26-2n=18 | | 6x=5.2x+1 | | 2[4x-2(y-1)]= | | 7x+6-x=30 | | x^6-14x^3+1=0 | | 5r-3r+6=5r-r | | 5(2z-1)-5(z+2)=2(z+1) | | 4x-3=16x+3 | | .5h+.33h-6=.83h+2 | | 8x+11=7x+11 |

Equations solver categories