6(x+2)+3(3x-2)=12

Simple and best practice solution for 6(x+2)+3(3x-2)=12 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(3x-2)=12 equation:


Simplifying
6(x + 2) + 3(3x + -2) = 12

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

Reorder the terms:
12 + 6x + 3(-2 + 3x) = 12
12 + 6x + (-2 * 3 + 3x * 3) = 12
12 + 6x + (-6 + 9x) = 12

Reorder the terms:
12 + -6 + 6x + 9x = 12

Combine like terms: 12 + -6 = 6
6 + 6x + 9x = 12

Combine like terms: 6x + 9x = 15x
6 + 15x = 12

Solving
6 + 15x = 12

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 15x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 12 + -6
15x = 12 + -6

Combine like terms: 12 + -6 = 6
15x = 6

Divide each side by '15'.
x = 0.4

Simplifying
x = 0.4

See similar equations:

| 4a-(a+6)=-24 | | 15n-18-19=-3+17 | | X^4-2x^3-2x^2-x+2=0 | | 2x/14xy | | -1-9f=2f-10-8f | | 10x+2=3x+5+3x+5 | | -ax=b-y | | x+4x-7x=-24 | | (5x+6)+3x+90+180= | | -8d+7=-10+9d | | y=2*3-19/7 | | 5y-6=4y | | (5x+-6)+3x+90+180= | | 2(2x-9)+5=8 | | 6x+22=4x+16 | | -9+4j=-3+6+2j | | 10-25x=10 | | y=2*0-19/7 | | -7(2p-9)=14 | | 8-4h=-5h | | y=19/7 | | 9x-180=5x+60 | | F(x)=-3x^2+24-30 | | g+10=-4g | | y=2*-3-19/7 | | -6(a+7)=12 | | 4+z=-10-z | | 2*-3-19/7 | | 0=2x^2+10x-1016 | | (3/5)w=4/3 | | 10-3q=-5m-8 | | 2w+12=42 |

Equations solver categories