4(w+3)=5(w-2)

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


Simplifying
4(w + 3) = 5(w + -2)

Reorder the terms:
4(3 + w) = 5(w + -2)
(3 * 4 + w * 4) = 5(w + -2)
(12 + 4w) = 5(w + -2)

Reorder the terms:
12 + 4w = 5(-2 + w)
12 + 4w = (-2 * 5 + w * 5)
12 + 4w = (-10 + 5w)

Solving
12 + 4w = -10 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
12 + 4w + -5w = -10 + 5w + -5w

Combine like terms: 4w + -5w = -1w
12 + -1w = -10 + 5w + -5w

Combine like terms: 5w + -5w = 0
12 + -1w = -10 + 0
12 + -1w = -10

Add '-12' to each side of the equation.
12 + -12 + -1w = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -1w = -10 + -12
-1w = -10 + -12

Combine like terms: -10 + -12 = -22
-1w = -22

Divide each side by '-1'.
w = 22

Simplifying
w = 22

See similar equations:

| 6y+16=4(y+1)+5y | | 5(v+2)=4(v-6) | | 12+8=20 | | 1/2/5w=1/310 | | http://media.apexlearning.com/Images/200909/23/13dd44a7-9009-49b1-8fb9-c7275f95d21d.gif | | (n+2)(5n-1)=0 | | 2d-7d=30 | | x=0.2x+(1.5*0.2x)+60 | | 4(m+2)+3(m-2)=16 | | -m+2=12 | | 3(v-5)=2(v-5) | | 8a-5=9+a | | X^2=-15/17 | | x+13=-11 | | 3t+7/2=17 | | 3n+7n+2= | | 3a=9-3 | | (x+4)(x+4)-16(x+4)+63=0 | | -23y-8=-24y-8 | | q-5z/5=5k-5z/5 | | r+1=-6 | | -11y+2=-12y+2 | | 0+9d+d=10+10d | | 3a-2=8+a | | 5(a-2)-10=2a+6+a | | =100-lnx | | 7x-4=6x+28 | | 3m^2-16m+16=0 | | 5z-q=5z-5k | | X/a=b/c;x/8=4.5/12 | | 24-4v+12+20v=180 | | 3/7y=2 |

Equations solver categories