4(5r+15)=10(4r-16)

Simple and best practice solution for 4(5r+15)=10(4r-16) 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 4(5r+15)=10(4r-16) equation: 


Simplifying
4(5r + 15) = 10(4r + -16)

Reorder the terms:
4(15 + 5r) = 10(4r + -16)
(15 * 4 + 5r * 4) = 10(4r + -16)
(60 + 20r) = 10(4r + -16)

Reorder the terms:
60 + 20r = 10(-16 + 4r)
60 + 20r = (-16 * 10 + 4r * 10)
60 + 20r = (-160 + 40r)

Solving
60 + 20r = -160 + 40r

Solving for variable 'r'.

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

Add '-40r' to each side of the equation.
60 + 20r + -40r = -160 + 40r + -40r

Combine like terms: 20r + -40r = -20r
60 + -20r = -160 + 40r + -40r

Combine like terms: 40r + -40r = 0
60 + -20r = -160 + 0
60 + -20r = -160

Add '-60' to each side of the equation.
60 + -60 + -20r = -160 + -60

Combine like terms: 60 + -60 = 0
0 + -20r = -160 + -60
-20r = -160 + -60

Combine like terms: -160 + -60 = -220
-20r = -220

Divide each side by '-20'.
r = 11

Simplifying
r = 11

See similar equations:

| 2x(11x+9)=0 | | 5x+2y=60 | | 12x+4y-2=0 | | 2(5x+4)+3(2x+11)=4x-19 | | 4x+34=6x+8 | | 6(x-8)+16=2(x-4) | | x(0.06)=1790 | | 13x-(3x-7)=67 | | r^2=-4r+12 | | 3(3y-1)=4(2x+1) | | 1+y=-3 | | 12k+10.5=k+16 | | 6y+2(y-4)=56 | | 1.7q-2.5-5.9q=-5.2q-2.5 | | 0.9x=0.72 | | -6x-13=4x+17 | | 1+y=-5 | | -x+y=-5 | | 0.8(x-6)=15.2 | | 4x-3x+8=80 | | 4x+3x-8=80 | | -16.7=3.3-5y | | b^2+4b-45= | | 4z+6=6z-20 | | 19+8=6+7x | | 11x-8-6x=6x-2 | | 9-x=10 | | x+0.2=16 | | 6x^2=1734 | | 13+2x=79 | | -15=3x-8 | | -5y+6=2(4y+9) |

Equations solver categories