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

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


Simplifying
3(x + -6) + -1(3x + 2) = 2(6x + 2)

Reorder the terms:
3(-6 + x) + -1(3x + 2) = 2(6x + 2)
(-6 * 3 + x * 3) + -1(3x + 2) = 2(6x + 2)
(-18 + 3x) + -1(3x + 2) = 2(6x + 2)

Reorder the terms:
-18 + 3x + -1(2 + 3x) = 2(6x + 2)
-18 + 3x + (2 * -1 + 3x * -1) = 2(6x + 2)
-18 + 3x + (-2 + -3x) = 2(6x + 2)

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

Combine like terms: -18 + -2 = -20
-20 + 3x + -3x = 2(6x + 2)

Combine like terms: 3x + -3x = 0
-20 + 0 = 2(6x + 2)
-20 = 2(6x + 2)

Reorder the terms:
-20 = 2(2 + 6x)
-20 = (2 * 2 + 6x * 2)
-20 = (4 + 12x)

Solving
-20 = 4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-20 + -12x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
-20 + -12x = 4 + 0
-20 + -12x = 4

Add '20' to each side of the equation.
-20 + 20 + -12x = 4 + 20

Combine like terms: -20 + 20 = 0
0 + -12x = 4 + 20
-12x = 4 + 20

Combine like terms: 4 + 20 = 24
-12x = 24

Divide each side by '-12'.
x = -2

Simplifying
x = -2

See similar equations:

| x+2=-3x+14 | | 3.5(n-2)=3(n+4) | | 2log(5x-2)=0 | | 4x+3y-1=0 | | 48t^2-14t+1=0 | | 6x+7x=-16+7x-7+5 | | 20=25k/2 | | 8t^2+63t-8=0 | | 12y+7=51 | | 4x^2+2x+6=198-6x | | 2(4+2x)+3x=5 | | f(x)=8x^2+7x+10 | | y=-3*-5-1 | | 4x-3y-1=0 | | 3(3x-7)+2(5x+5)=0 | | 6t^2+47t-8=0 | | 1-8r=5-6r | | 8x-12+8x-12+5x-3+5x-3=360 | | 8t^2-49t+6=0 | | -4+4k=2k+6 | | 2a-45=43 | | 9x^4-75x^3+126x^2=0 | | -2+3b=20 | | z^3-2z^2+4z-3=0 | | 4r+2=5r+5+2 | | 16+4(5c-2)= | | 29-3x=11-9x | | m+7=-14+4m | | 9(x+6)-15=3 | | x-4^5/2=32 | | 7p+3p=16+2p | | 68-3x=5-10x |

Equations solver categories