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

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


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

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

Reorder the terms:
-18 + 6x = 3(-2 + 3x)
-18 + 6x = (-2 * 3 + 3x * 3)
-18 + 6x = (-6 + 9x)

Solving
-18 + 6x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-18 + 6x + -9x = -6 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-18 + -3x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + -3x = -6 + 0
-18 + -3x = -6

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

Combine like terms: -18 + 18 = 0
0 + -3x = -6 + 18
-3x = -6 + 18

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

Divide each side by '-3'.
x = -4

Simplifying
x = -4

See similar equations:

| 2=(3x+4)(1-x) | | 20=14-6 | | 7log(x)=32 | | E(x)=lx-1l+lx+3l | | 1.8+7s=9.1 | | 9.25t+9=15.5t+14 | | (3x-6)+27=-15 | | Y=-2x^2-13x+7 | | -4/5-9=1 | | -4/5-6=4 | | 6m+10=2 | | 3x-11=2x-(5-x) | | 6x(3x-2)(x+7)=0 | | 7(2x-3)-4(x+5)=8(x-1)+5 | | 5+4(w+2)=(w+7)+1 | | 8s^2+14s=15 | | 5x=21-x | | 5x=21+x | | 4x-4=-12+10 | | m=2(12w-19) | | -3*(p/16-3p) | | m=12w-19 | | 2x-12x=-3+1 | | 3x/16-3x | | 1=-3x/16-3x | | 119x+1+61x-1=180 | | t/4-5=14 | | 3x+3x+4x+50=180 | | 9m-28=34 | | 188-6x=6+8 | | -2-12+8y=12 | | 5(5n-5)=200 |

Equations solver categories