3(4w-5)=7(9-3w)

Simple and best practice solution for 3(4w-5)=7(9-3w) 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(4w-5)=7(9-3w) equation:


Simplifying
3(4w + -5) = 7(9 + -3w)

Reorder the terms:
3(-5 + 4w) = 7(9 + -3w)
(-5 * 3 + 4w * 3) = 7(9 + -3w)
(-15 + 12w) = 7(9 + -3w)
-15 + 12w = (9 * 7 + -3w * 7)
-15 + 12w = (63 + -21w)

Solving
-15 + 12w = 63 + -21w

Solving for variable 'w'.

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

Add '21w' to each side of the equation.
-15 + 12w + 21w = 63 + -21w + 21w

Combine like terms: 12w + 21w = 33w
-15 + 33w = 63 + -21w + 21w

Combine like terms: -21w + 21w = 0
-15 + 33w = 63 + 0
-15 + 33w = 63

Add '15' to each side of the equation.
-15 + 15 + 33w = 63 + 15

Combine like terms: -15 + 15 = 0
0 + 33w = 63 + 15
33w = 63 + 15

Combine like terms: 63 + 15 = 78
33w = 78

Divide each side by '33'.
w = 2.363636364

Simplifying
w = 2.363636364

See similar equations:

| 9-5r=4r+11 | | 4w-3=w+5 | | 2w-7=5w-7 | | 5x=0 | | 2p(5p-6)=23(7-2p) | | 2x+4=180-2(3x-1) | | 2x+4=180-2(x-1) | | 3x+10=180-2(x-1) | | 3x+10=180-2(x+40) | | 3x+10=x+40 | | 17x+12= | | x-4-4x=6x+9-8x | | 3x+4=5x-2 | | 5x-4(x-6)=-11 | | 6y-15=4+10y | | 3(x+2)=36 | | -4(3p+2)-26=2(4p+3) | | 4(-2y^3)= | | 6x-6=2x+18 | | 3(4a^2bc)= | | 5(3x-2)+10= | | 6+3(4n+3)-n= | | 2r-7r=10 | | (2x-5)(2x-5)-(x-6)(x-6)=80 | | 9-9=5y-4y | | 2(x+10)=80 | | 84-75=31y-34y | | 4e(e+6)=e-15 | | 6x-5=x-6 | | 5-8x=12x+27 | | -3(5x+6)= | | 5x-3=8x+27 |

Equations solver categories