Solve x-4/6+2x+8/2=8+4x-1/3

$$\frac { x - 4 } { 6 } + \frac { 2 x + 8 } { 2 } = 8 + \frac { 4 x - 1 } { 3 }$$

Solve for x

$$x=-26$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,2,3.

$$x-4+3\left(2x+8\right)=48+2\left(4x-1\right)$$

Use the distributive property to multiply 3 by 2x+8.

$$x-4+6x+24=48+2\left(4x-1\right)$$

Combine x and 6x to get 7x.

$$7x-4+24=48+2\left(4x-1\right)$$

Add -4 and 24 to get 20.

$$7x+20=48+2\left(4x-1\right)$$

Use the distributive property to multiply 2 by 4x-1.

$$7x+20=48+8x-2$$

Subtract 2 from 48 to get 46.

$$7x+20=46+8x$$

Subtract 8x from both sides.

$$7x+20-8x=46$$

Combine 7x and -8x to get -x.

$$-x+20=46$$

Subtract 20 from both sides.

$$-x=46-20$$

Subtract 20 from 46 to get 26.

$$-x=26$$

Multiply both sides by -1.

$$x=-26$$