31-4(2w+1)=7w-4(7+w)

Simple and best practice solution for 31-4(2w+1)=7w-4(7+w) 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 31-4(2w+1)=7w-4(7+w) equation:


Simplifying
31 + -4(2w + 1) = 7w + -4(7 + w)

Reorder the terms:
31 + -4(1 + 2w) = 7w + -4(7 + w)
31 + (1 * -4 + 2w * -4) = 7w + -4(7 + w)
31 + (-4 + -8w) = 7w + -4(7 + w)

Combine like terms: 31 + -4 = 27
27 + -8w = 7w + -4(7 + w)
27 + -8w = 7w + (7 * -4 + w * -4)
27 + -8w = 7w + (-28 + -4w)

Reorder the terms:
27 + -8w = -28 + 7w + -4w

Combine like terms: 7w + -4w = 3w
27 + -8w = -28 + 3w

Solving
27 + -8w = -28 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
27 + -8w + -3w = -28 + 3w + -3w

Combine like terms: -8w + -3w = -11w
27 + -11w = -28 + 3w + -3w

Combine like terms: 3w + -3w = 0
27 + -11w = -28 + 0
27 + -11w = -28

Add '-27' to each side of the equation.
27 + -27 + -11w = -28 + -27

Combine like terms: 27 + -27 = 0
0 + -11w = -28 + -27
-11w = -28 + -27

Combine like terms: -28 + -27 = -55
-11w = -55

Divide each side by '-11'.
w = 5

Simplifying
w = 5

See similar equations:

| 1.3c=3.3c+2.8 | | 3(k-3)-6=6k-(5k-3) | | -5=-(x+4)+3x+5 | | 1.5d=3/8 | | -4(v+3)-5(2-2v)=2 | | 6(3x+4)=5(x+5)-12 | | -7(x+4)+4x+7=8x+11 | | 3x-5+2x=90 | | x(5x+12)=2x^2-2x+49 | | 64x+48+6x=-22 | | (x^4+16)-81=0 | | 15-(x+6)=7x-7 | | 14+7n=14+28 | | 18=x+16 | | -n-1=2n-1-5n-16 | | 200x^4-72y^2=8(5x^2-3y)(5x^2+3y) | | 4x-4x+9=5x-9 | | -8=-2(2+7) | | 0.16d+0.66=0.25(d-2) | | 2-11y=3y-26 | | 22=-4(2x-3)-2x | | 7-4t-5+t= | | 8y-9-6y+8=0 | | 12x-6x=24 | | 2(3y-9)-(4y+1)= | | 49x^4y^2-121=(7x^2y-11)(7x^2y+11) | | q=10+-2p | | -8-8h=7-3h+16 | | 1.3z-0.6(z+17)=0.7(z+2) | | 5x^2=12x+32 | | 0=9z+20 | | -13=2-3(3x+2) |

Equations solver categories