Solve 5d/3-6=51/2d+4

$$\frac { 5 d } { 3 } - 6 = 51 / 2 d + 4$$

Solve for d

$$d=-\frac{60}{143}\approx -0.41958042$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\times 5d-36=153d+24$$

Multiply 2 and 5 to get 10.

$$10d-36=153d+24$$

Subtract 153d from both sides.

$$10d-36-153d=24$$

Combine 10d and -153d to get -143d.

$$-143d-36=24$$

Add 36 to both sides.

$$-143d=24+36$$

Add 24 and 36 to get 60.

$$-143d=60$$

Divide both sides by -143.

$$d=\frac{60}{-143}$$

Fraction \frac{60}{-143} can be rewritten as -\frac{60}{143} by extracting the negative sign.

$$d=-\frac{60}{143}$$