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

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


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

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

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

Solving
-6 + 2x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 2x + -6x = 12 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-6 + -4x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -4x = 12 + 0
-6 + -4x = 12

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

Combine like terms: -6 + 6 = 0
0 + -4x = 12 + 6
-4x = 12 + 6

Combine like terms: 12 + 6 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

See similar equations:

| Cos^3x-cosx=0 | | -3x-15=30 | | -8x^4+2x= | | -4(2x-5)=-8x-20-4 | | f(t)=3cos(2t) | | .09(2-3.33)=.18-.3y | | 14=3.5x(x) | | 2x+2(x-3)=18 | | 3(3v+3)+3v+7=6(v+1)-4v | | 3.5x(x)=14 | | .09x=.18-.3y | | Log(3)(3x-4)=-2 | | (x^4)-(9x^2)=0 | | g=42+(-0.5r) | | (5x+3)=2(x+12) | | 32x^2+48xy-32y^2=0 | | 336=(8+x)*(x-8) | | 3x^3+12x^2-24x=0 | | Log(5)(3x-4)=-2 | | x+(x*x)=1806 | | 84=r+2g | | 4(2x-1)+3(4x+7)= | | (9)(-4)= | | p=14/(14+2) | | 180n-180n=360 | | 127-x=209 | | 322=x*(2x-5) | | =-16x^2+40x+5 | | 322=x*(5-2x) | | x+2=0.75x+5 | | 62+10=9x | | 6p^3+2p^2-8p= |

Equations solver categories