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

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


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

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

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

Solving
6 + 4x = -6 + 12x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-8'.
x = 1.5

Simplifying
x = 1.5

See similar equations:

| 9n+8=98 | | 5x+8=78-5x | | 3(r-5)= | | 8x+6=2x+24 | | 0.8a-6=-0.6a+22 | | 15x^2-x-6=0 | | 4x+6=34+x | | 5x^2-14x+8=0 | | 4x^2+24x-64=0 | | 5-x=41 | | 0.6x(4y-2)= | | 0=3y(x-3)-2(x-3) | | 10x-9= | | 4x+18=(x+3) | | 6x^2+10x-4=y | | 0.3(0.7x-0.9)=-1.83 | | 4x^2-x-2=0 | | -1+5x-7x=-1 | | 13-9x=51-23x | | 13-9x=51x-23x | | 2x+11=-55-9x | | n*9+5=49 | | 3+2y=10-3y | | 8(4r+3-5)= | | 7=2.6-4n | | x^3-3x^2-25x+75=0 | | (x+5)(x^2-5x+25)= | | 5.7n+4.1=2.96 | | 8x^2-6x-9=0 | | -1.4n+2.1=6.58 | | 8.2=3.7-3n | | (4x+2)(3x+5)= |

Equations solver categories