Question

2.08 - solve linear equations with fractions
due sunday by 11:59pm points 100 submitting an external tool
question
solve: $\frac{3d + 3}{4}-2=\frac{12d - 3}{10}$
provide your answer below:
d = □

Explanation:

Step1: Find common denominator

The common denominator of 4 and 10 is 20. Multiply each term by 20 to clear the fractions.
$20\times(\frac{3d + 3}{4}-2)=20\times\frac{12d - 3}{10}$
$20\times\frac{3d + 3}{4}-20\times2 = 20\times\frac{12d - 3}{10}$
$5(3d + 3)-40=2(12d - 3)$

Step2: Expand brackets

Use the distributive property.
$15d+15 - 40=24d-6$
$15d - 25=24d-6$

Step3: Isolate variable terms

Subtract 15d from both sides.
$15d-15d - 25=24d-15d-6$
$- 25 = 9d-6$

Step4: Solve for d

Add 6 to both sides and then divide by 9.
$-25 + 6=9d-6 + 6$
$-19 = 9d$
$d=-\frac{19}{9}$

Answer:

$d =-\frac{19}{9}$