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

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

Solve for x

$$x = -\frac{64}{13} = -4\frac{12}{13} \approx -4.923076923$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 4 by 4x+1.

$$16x+4+48=3\left(x-4\right)$$

Add 4 and 48 to get 52.

$$16x+52=3\left(x-4\right)$$

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

$$16x+52=3x-12$$

Subtract 3x from both sides.

$$16x+52-3x=-12$$

Combine 16x and -3x to get 13x.

$$13x+52=-12$$

Subtract 52 from both sides.

$$13x=-12-52$$

Subtract 52 from -12 to get -64.

$$13x=-64$$

Divide both sides by 13.

$$x=\frac{-64}{13}$$

Fraction \frac{-64}{13} can be rewritten as -\frac{64}{13} by extracting the negative sign.

$$x=-\frac{64}{13}$$