3(x+6)-6(3x+6)=-16(x+3)+2

Simple and best practice solution for 3(x+6)-6(3x+6)=-16(x+3)+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 3(x+6)-6(3x+6)=-16(x+3)+2 equation:


Simplifying
3(x + 6) + -6(3x + 6) = -16(x + 3) + 2

Reorder the terms:
3(6 + x) + -6(3x + 6) = -16(x + 3) + 2
(6 * 3 + x * 3) + -6(3x + 6) = -16(x + 3) + 2
(18 + 3x) + -6(3x + 6) = -16(x + 3) + 2

Reorder the terms:
18 + 3x + -6(6 + 3x) = -16(x + 3) + 2
18 + 3x + (6 * -6 + 3x * -6) = -16(x + 3) + 2
18 + 3x + (-36 + -18x) = -16(x + 3) + 2

Reorder the terms:
18 + -36 + 3x + -18x = -16(x + 3) + 2

Combine like terms: 18 + -36 = -18
-18 + 3x + -18x = -16(x + 3) + 2

Combine like terms: 3x + -18x = -15x
-18 + -15x = -16(x + 3) + 2

Reorder the terms:
-18 + -15x = -16(3 + x) + 2
-18 + -15x = (3 * -16 + x * -16) + 2
-18 + -15x = (-48 + -16x) + 2

Reorder the terms:
-18 + -15x = -48 + 2 + -16x

Combine like terms: -48 + 2 = -46
-18 + -15x = -46 + -16x

Solving
-18 + -15x = -46 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-18 + -15x + 16x = -46 + -16x + 16x

Combine like terms: -15x + 16x = 1x
-18 + 1x = -46 + -16x + 16x

Combine like terms: -16x + 16x = 0
-18 + 1x = -46 + 0
-18 + 1x = -46

Add '18' to each side of the equation.
-18 + 18 + 1x = -46 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -46 + 18
1x = -46 + 18

Combine like terms: -46 + 18 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

See similar equations:

| 36-24/6x2 | | 1/3x^2-3 | | 10+x/6=-20 | | ((x-2y)/(15y)-(3)/(15y)) | | 8+11x=0 | | 1/6d=51 | | b^2+4b-16=0 | | ((1/3)5x+3)-((1/4)x+5)=4 | | 1/6d=15 | | d+2e=f | | 4.17x+49=17.3889+7x | | an=3n+1 | | x^3-9x-6=0 | | 2(3y-9)=5y+-9 | | 2[x/4+7]=18 | | 3y-x=-9 | | (4x-28)/3=(3x+21)/4 | | 6z-14=9z+5 | | x+16+11=33 | | 4(13/4)+2y-5 | | 3/4x-1/2=10 | | 7x-2=41 | | (x+6)(x+6)=49 | | (y-8)(y-8)-28=0 | | 3y+x=-9 | | 3m+1=3m^2+6m+2 | | x+17+12=35 | | 2v^2-13v+47=(v-7)(v-7) | | X+(x+6)=33 | | 10x=-52 | | (y-1)(y-1)=2y^2+6y+16 | | ((2/3)a)+2=((1/3)(4a+1)) |

Equations solver categories