2(x-4)=3(x+6)

Simple and best practice solution for 2(x-4)=3(x+6) 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-4)=3(x+6) equation: 


Simplifying
2(x + -4) = 3(x + 6)

Reorder the terms:
2(-4 + x) = 3(x + 6)
(-4 * 2 + x * 2) = 3(x + 6)
(-8 + 2x) = 3(x + 6)

Reorder the terms:
-8 + 2x = 3(6 + x)
-8 + 2x = (6 * 3 + x * 3)
-8 + 2x = (18 + 3x)

Solving
-8 + 2x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 2x + -3x = 18 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-8 + -1x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -1x = 18 + 0
-8 + -1x = 18

Add '8' to each side of the equation.
-8 + 8 + -1x = 18 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 18 + 8
-1x = 18 + 8

Combine like terms: 18 + 8 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26

See similar equations:

| 9x=127 | | x+6y=28 | | 8n-23=5n+7 | | 10x+9=3x+9+7x | | 2(x+7)=4-x | | 4x(57442573-46477)=84x-12 | | 4x-2-126=5x | | 2x+4=2x-5 | | 3.14*2R=157 | | 3.14*20=157 | | 3/5+5=7 | | 4x-2(x-3)=-2+5x-16 | | 16x-4y=12 | | n^2+n=380 | | 3x^2-10x+5=y | | x/4-2.7=4.8 | | 88=5x+1 | | 3x^2-10x+5= | | 2w+2(3w+1)= | | ab-4ab+11ab= | | 2m=-63-5 | | 3x+5=7x-2 | | (-6+12)/6=-7 | | 2m=-62-5 | | 2m=-61-5 | | 2m=-6-2-5 | | 8x-2x=-9+7x | | 2x+2y+z=9 | | -51=4m+8 | | 5k^2+7-36k=0 | | 25x^2-30x+9=9 | | -50=4m+8 |

Equations solver categories