Solve -\dfrac{1}3=\dfrac j{4}-\dfrac{10}3

Evaluate

- d \times \frac{1}{3} = d \times \frac{j}{4} - d \times \frac{10}{3}

Use the commutative property to reorder the terms

- \frac{1}{3} d = d \times \frac{j}{4} - d \times \frac{10}{3}

Simplify

More Steps

- \frac{1}{3} d = \frac{d j}{4} - \frac{10}{3} d

Rewrite the expression

- \frac{1}{3} d = \frac{j d}{4} - \frac{10}{3} d

Multiply both sides of the equation by LCD

- \frac{1}{3} d \times 12 = (\frac{j d}{4} - \frac{10}{3} d) \times 12

Simplify the equation

More Steps

- 4 d = (\frac{j d}{4} - \frac{10}{3} d) \times 12

Simplify the equation

More Steps

- 4 d = 3 j d - 40 d

Collect like terms by calculating the sum or difference of their coefficients

- 4 d = (3 j - 40) d

Add or subtract both sides

- 4 d - (3 j - 40) d = 0

Calculate

- 4 d + (- 3 j + 40) d = 0

Simplify

More Steps

(36 - 3 j) d = 0

Solution

d = 0

Solve the equation