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

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

Solve for x

$$x = -\frac{34}{13} = -2\frac{8}{13} \approx -2.615384615$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8.

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

Use the distributive property to multiply 4 by 8x+2.

$$32x+8+48=3\left(2x-4\right)$$

Add 8 and 48 to get 56.

$$32x+56=3\left(2x-4\right)$$

Use the distributive property to multiply 3 by 2x-4.

$$32x+56=6x-12$$

Subtract 6x from both sides.

$$32x+56-6x=-12$$

Combine 32x and -6x to get 26x.

$$26x+56=-12$$

Subtract 56 from both sides.

$$26x=-12-56$$

Subtract 56 from -12 to get -68.

$$26x=-68$$

Divide both sides by 26.

$$x=\frac{-68}{26}$$

Reduce the fraction \frac{-68}{26} to lowest terms by extracting and canceling out 2.

$$x=-\frac{34}{13}$$