-6(2w-3)+3w=5(w+6)

Simple and best practice solution for -6(2w-3)+3w=5(w+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 -6(2w-3)+3w=5(w+6) equation:


Simplifying
-6(2w + -3) + 3w = 5(w + 6)

Reorder the terms:
-6(-3 + 2w) + 3w = 5(w + 6)
(-3 * -6 + 2w * -6) + 3w = 5(w + 6)
(18 + -12w) + 3w = 5(w + 6)

Combine like terms: -12w + 3w = -9w
18 + -9w = 5(w + 6)

Reorder the terms:
18 + -9w = 5(6 + w)
18 + -9w = (6 * 5 + w * 5)
18 + -9w = (30 + 5w)

Solving
18 + -9w = 30 + 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.
18 + -9w + -5w = 30 + 5w + -5w

Combine like terms: -9w + -5w = -14w
18 + -14w = 30 + 5w + -5w

Combine like terms: 5w + -5w = 0
18 + -14w = 30 + 0
18 + -14w = 30

Add '-18' to each side of the equation.
18 + -18 + -14w = 30 + -18

Combine like terms: 18 + -18 = 0
0 + -14w = 30 + -18
-14w = 30 + -18

Combine like terms: 30 + -18 = 12
-14w = 12

Divide each side by '-14'.
w = -0.8571428571

Simplifying
w = -0.8571428571

See similar equations:

| 6(1-x)+2=4(2+x)-9x | | -5y-45=4(y-9) | | 5+3w=7w-73 | | 3y+7=7y+13 | | 26.34+42.18= | | (4b+3)(b+1)=0 | | -26.34+42.18= | | (r-5)(2r+7)=0 | | 3(6x+1)=-5(2x+3) | | 3n-(2n+1)=5 | | 3p+6=-6 | | 51x-18=84 | | 41.6x=707.2 | | -4y+5-3y=40 | | -3(2x+2)=-3(5x-1) | | ax+bx-3=11 | | 9+5x=-16 | | 51=7(-12v)+2 | | a=a-1 | | -5.7q=97.41 | | 22x-12=10 | | Y=14x-133 | | 413*410= | | -3+4x=11 | | 1+2x=6x-5 | | 4x+16-3x=-20 | | -5(6x-3)=2(8x+3) | | 15=1+7(X-18) | | 5(4x-3)-3(2x+1)= | | 2x+3*3x=33 | | 2x+25=3x+7 | | 4(3x+1)-5x=32 |

Equations solver categories