2(x-3)=6(x+8)

Simple and best practice solution for 2(x-3)=6(x+8) 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)=6(x+8) equation:


Simplifying
2(x + -3) = 6(x + 8)

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

Reorder the terms:
-6 + 2x = 6(8 + x)
-6 + 2x = (8 * 6 + x * 6)
-6 + 2x = (48 + 6x)

Solving
-6 + 2x = 48 + 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 = 48 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-6 + -4x = 48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -4x = 48 + 0
-6 + -4x = 48

Add '6' to each side of the equation.
-6 + 6 + -4x = 48 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = 48 + 6
-4x = 48 + 6

Combine like terms: 48 + 6 = 54
-4x = 54

Divide each side by '-4'.
x = -13.5

Simplifying
x = -13.5

See similar equations:

| 12x+23=12x-7 | | -6(y+1)+3(4y-3)=5(y-3)+8 | | 7kn*2m^2*(-3km)= | | Y+25-10=50 | | a+5=4a+15 | | 10h+18=8h+4 | | 5n+6-3n=-4 | | 11x^2+15x-2684=0 | | 3(y-1)=2y-3 | | -125x^3+27=0 | | x^2+2ax-3b-6ab=0 | | 4(n-3)=3n | | 3w-3(6-2w)=27 | | t(230)=4n-20 | | 3-12=x+2 | | 4x^2-25x+78=0 | | -6+5k=-16 | | 2(5x+1)=3(x+12) | | -2x+1(-8)=2x+8 | | 6x-9+3x+24=90 | | 11=(x*y)+25 | | -3x+4y+7-2x-3-y= | | 6b^2+2b=140 | | y=3.7x+5.2 | | 12x-8=15x-15 | | 29x+7y=13 | | (W+5)(w-13)=0 | | 18x+5=8x-1+46 | | 4xsomething=32 | | 21/17.5=x/6 | | -4(x-6)=-3x-5 | | -6n-2n+4=16 |

Equations solver categories