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

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


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

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

Reorder the terms:
-18 + 6x = 2(3 + 2x)
-18 + 6x = (3 * 2 + 2x * 2)
-18 + 6x = (6 + 4x)

Solving
-18 + 6x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-18 + 6x + -4x = 6 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-18 + 2x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 2x = 6 + 0
-18 + 2x = 6

Add '18' to each side of the equation.
-18 + 18 + 2x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 6 + 18
2x = 6 + 18

Combine like terms: 6 + 18 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

See similar equations:

| x-17=24 | | (3x+4)-x=10x | | 16(3x-9)=4(12x+5) | | 4a^3+10a^2= | | ((2x^2+x-1)*(9x^2-9x+2))=0 | | 3(2x+1)=5(7-2x) | | -7x^2+14x+12=0 | | (x+6)(x-2)(x-1)=60 | | 5x^2-19x+50=0 | | 2n^2=10n | | 5+3r-1=6r+4-2r | | 14x+1=12x+5 | | 3(5r-6)=-7(2-2r) | | 8b=4b-52 | | 7x^2+10x-30=0 | | 5x-2(x-3)=6 | | 9-3(m+9)=-36 | | 3x^2+10x-30=0 | | 4x^2+10x-30=0 | | 2x^2+10x-30=0 | | 8(2x+1)=-4x+48 | | [2d]+3=21 | | -4(9+5)= | | 0=-16t^2+225t | | 9y+7y=112 | | 10x^2+10x-30=0 | | -2x-10y=58 | | 5x+3(2x+11)=44 | | 8c+16-6c=20 | | 2w^2-w-21= | | 6x+5=x-25 | | 6-7y=2(-4)y+1 |

Equations solver categories