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

Simple and best practice solution for 4(x+3)=x-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 4(x+3)=x-3(3x-2) equation:


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

Reorder the terms:
4(3 + x) = x + -3(3x + -2)
(3 * 4 + x * 4) = x + -3(3x + -2)
(12 + 4x) = x + -3(3x + -2)

Reorder the terms:
12 + 4x = x + -3(-2 + 3x)
12 + 4x = x + (-2 * -3 + 3x * -3)
12 + 4x = x + (6 + -9x)

Reorder the terms:
12 + 4x = 6 + x + -9x

Combine like terms: x + -9x = -8x
12 + 4x = 6 + -8x

Solving
12 + 4x = 6 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
12 + 4x + 8x = 6 + -8x + 8x

Combine like terms: 4x + 8x = 12x
12 + 12x = 6 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + 12x = 6 + 0
12 + 12x = 6

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

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

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

Divide each side by '12'.
x = -0.5

Simplifying
x = -0.5

See similar equations:

| 8.7x+34.02=11.3x+33.26 | | x-40=54 | | 8-x^4=0 | | q=5g+5g | | 6(6x+3)+3(5x+4)+6=51x+37 | | 1y-5x=2 | | -10(x+2)+144=10+14 | | 7B+1B=240 | | 8+3(x-7)=2-4(x-7) | | 7-5b=17 | | 4a+7a+7= | | 5(26.6+0.33y)-2y+20+26.6+0.33y=180 | | 5y-30x=-45 | | -7(x+3)-x-4=-8(x+4)+7 | | 10(3x-11)=120x | | 2(x-13)=4 | | 2=-2+6 | | -0.2Q^2+112Q-4160=0 | | ydx+(2x-3y)dy=0 | | 6(8-2)=4y | | 12x^4-3x^3-54= | | t*6-8=11 | | 40+2x= | | 90+6x=-7.5x | | -3=-x+6 | | t*6-=11 | | 8.7+34.02=-11.3x+33.26 | | 9x+(9y-18)=180 | | -0.2x+4=0 | | 7.2x-3.5=3.7 | | a*6+2=16 | | 0.9x-3=0 |

Equations solver categories