Solve 1-d+5/3=3(d-1)/4

$$1 - \frac { d + 5 } { 3 } = \frac { 3 ( d - 1 ) } { 4 }$$

Solve for d

$$d=\frac{1}{13}\approx 0.076923077$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$12-4\left(d+5\right)=3\times 3\left(d-1\right)$$

Use the distributive property to multiply -4 by d+5.

$$12-4d-20=3\times 3\left(d-1\right)$$

Subtract 20 from 12 to get -8.

$$-8-4d=3\times 3\left(d-1\right)$$

Multiply 3 and 3 to get 9.

$$-8-4d=9\left(d-1\right)$$

Use the distributive property to multiply 9 by d-1.

$$-8-4d=9d-9$$

Subtract 9d from both sides.

$$-8-4d-9d=-9$$

Combine -4d and -9d to get -13d.

$$-8-13d=-9$$

Add 8 to both sides.

$$-13d=-9+8$$

Add -9 and 8 to get -1.

$$-13d=-1$$

Divide both sides by -13.

$$d=\frac{-1}{-13}$$

Fraction \frac{-1}{-13} can be simplified to \frac{1}{13} by removing the negative sign from both the numerator and the denominator.

$$d=\frac{1}{13}$$