5(r-1)=2(r-40)-6

Simple and best practice solution for 5(r-1)=2(r-40)-6 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-1)=2(r-40)-6 equation:


Simplifying
5(r + -1) = 2(r + -40) + -6

Reorder the terms:
5(-1 + r) = 2(r + -40) + -6
(-1 * 5 + r * 5) = 2(r + -40) + -6
(-5 + 5r) = 2(r + -40) + -6

Reorder the terms:
-5 + 5r = 2(-40 + r) + -6
-5 + 5r = (-40 * 2 + r * 2) + -6
-5 + 5r = (-80 + 2r) + -6

Reorder the terms:
-5 + 5r = -80 + -6 + 2r

Combine like terms: -80 + -6 = -86
-5 + 5r = -86 + 2r

Solving
-5 + 5r = -86 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-5 + 5r + -2r = -86 + 2r + -2r

Combine like terms: 5r + -2r = 3r
-5 + 3r = -86 + 2r + -2r

Combine like terms: 2r + -2r = 0
-5 + 3r = -86 + 0
-5 + 3r = -86

Add '5' to each side of the equation.
-5 + 5 + 3r = -86 + 5

Combine like terms: -5 + 5 = 0
0 + 3r = -86 + 5
3r = -86 + 5

Combine like terms: -86 + 5 = -81
3r = -81

Divide each side by '3'.
r = -27

Simplifying
r = -27

See similar equations:

| (x-39)+(x+61)=180 | | 2x-8+3x=4+7x-12 | | 7-3x=1-8+4 | | 33z^9/11z^11 | | 780y+6=23.16 | | 30k+40(15-k)=520 | | -3(-4x-2)=4x+6+8x | | 4x-6=-13 | | 13=s+10 | | -2x=-3+12-2x | | 4x^2-27x+22=0 | | n+0.25n= | | 5w-40+120= | | =(-4h-2)-(3h+2) | | 8x+63=90 | | 3x/2=5x/3 | | 4f^2+12f+8=-1 | | X^5-6=138 | | 5x+63=180 | | n+0.25n=n | | 10r+14=2(5r+5)+4 | | 1/5(2x-39)=3x | | 20+5x+x-2=180 | | 1/5(2x-39)3x | | 11x+2=5x+38 | | 5x+10y=48-3x | | x+44=80 | | 3(2n+1)=3n-9 | | 2x^2-15x+9=2 | | -0.3=7.53 | | 9x+1=4x-1+5x | | xyz/10= |

Equations solver categories