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

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


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

Reorder the terms:
6(2 + x) = 3(x + -6)
(2 * 6 + x * 6) = 3(x + -6)
(12 + 6x) = 3(x + -6)

Reorder the terms:
12 + 6x = 3(-6 + x)
12 + 6x = (-6 * 3 + x * 3)
12 + 6x = (-18 + 3x)

Solving
12 + 6x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 6x + -3x = -18 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = -18 + 0
12 + 3x = -18

Add '-12' to each side of the equation.
12 + -12 + 3x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -18 + -12
3x = -18 + -12

Combine like terms: -18 + -12 = -30
3x = -30

Divide each side by '3'.
x = -10

Simplifying
x = -10

See similar equations:

| 3(7w-5)=-183 | | 2(3b+7)=38 | | 7(5b+4)=-287 | | 7(5n-5)=-105 | | 0=2x^2-5x+12 | | 5c+6c=10c | | -4(x-1)=5(x+8) | | 7(-1+4x)=301 | | 5(-10+3m)=40 | | 2(5x-8)=34 | | 4(1n-8)=-16 | | a(3a-2)+2a(a+4)=a(a+2)+4a(a-3)+48 | | 2+0.1(5-x)=1.2x-(0.4x-2.5) | | 3x-4y=-11 | | 19+12x=32 | | 6(2n+5)=-66 | | 6(x+2)=2(x-10) | | 5(7t-2)=-220 | | 7(3b-9)=-84 | | 6*(b-5)=12 | | h=-5t^2+30t+10 | | 4(10+x)=80 | | 7(-1+1b)=-21 | | 3(10+b)=63 | | 2(5-4d)=42 | | 5(-9-n)=10 | | y/-8-11 | | X=5y^2+30y+10 | | 3(5+2m)=69 | | 7(8-4w)=308 | | 7(5w+2)=14 | | 5(-8-n)=-50 |

Equations solver categories