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

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

Solve for x

$$x = -\frac{40}{13} = -3\frac{1}{13} \approx -3.076923077$$

Steps for Solving Linear Equation

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

$$4\left(4x+1\right)+24=3\left(x-4\right)$$

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

$$16x+4+24=3\left(x-4\right)$$

Add 4 and 24 to get 28.

$$16x+28=3\left(x-4\right)$$

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

$$16x+28=3x-12$$

Subtract 3x from both sides.

$$16x+28-3x=-12$$

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

$$13x+28=-12$$

Subtract 28 from both sides.

$$13x=-12-28$$

Subtract 28 from -12 to get -40.

$$13x=-40$$

Divide both sides by 13.

$$x=\frac{-40}{13}$$

Fraction \frac{-40}{13} can be rewritten as -\frac{40}{13} by extracting the negative sign.

$$x=-\frac{40}{13}$$