Solve 3d-4/6+1=d+1/8

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

Solve for d

$$d=-\frac{5}{9}\approx -0.555555556$$

Steps for Solving Linear Equation

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

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

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

$$12d-16+24=3\left(d+1\right)$$

Add -16 and 24 to get 8.

$$12d+8=3\left(d+1\right)$$

Use the distributive property to multiply 3 by d+1.

$$12d+8=3d+3$$

Subtract 3d from both sides.

$$12d+8-3d=3$$

Combine 12d and -3d to get 9d.

$$9d+8=3$$

Subtract 8 from both sides.

$$9d=3-8$$

Subtract 8 from 3 to get -5.

$$9d=-5$$

Divide both sides by 9.

$$d=\frac{-5}{9}$$

Fraction \frac{-5}{9} can be rewritten as -\frac{5}{9} by extracting the negative sign.

$$d=-\frac{5}{9}$$