Question
Solve: $\frac{1}{2}(x+5)-\frac{1}{3}(x-2)=4$
✓
Answer
$\begin{aligned} & \frac{1}{2}(x+5)-\frac{1}{3}(x-2)=4 \\ & \Rightarrow \frac{3(x+5)-2(x-2)}{6}=4 \\ & \Rightarrow 3 x+15-2 x+4=4 \times 6 \\ & \Rightarrow 3 x+15-2 x+4=24 \\ & \Rightarrow 3 x-2 x=24-15-4 \\ & \Rightarrow x=24-19=5 \\ & \therefore x=5\end{aligned}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Subtract: $4 x^2-5 x^2 y+y^2$ from $-3 y^2+5 x y^2-7 x^2-9 x^2 y$
→In the given figure, find the measure of each of the angles $\angle DOE$ and $\angle EOA$.
→Write the supplement of (90 + a + b)°
Find the simple interest and amount on each of the following :
(i) ₹ 8400 for 4 years at $8 \%$ per annum.
(ii) ₹ 50000 for 3 years $12 \frac{1}{2} \%$ per annum.
(iii) ₹ 9275 for 2 years at $7 \frac{1}{2} \%$ per annum.
→(i) ₹ 8400 for 4 years at $8 \%$ per annum.
(ii) ₹ 50000 for 3 years $12 \frac{1}{2} \%$ per annum.
(iii) ₹ 9275 for 2 years at $7 \frac{1}{2} \%$ per annum.
Triangle ABC is right-angled at vertex A. Calculate the length of BC, if AB = 18 cm and AC = 24 cm.
Simplify: 3x + 5(2x + 6) - 7x
A coin is tossed 80 times and the head is obtained 38 times. Now, if a coin tossed once, what will the probability of getting a head
Evaluate: $\left(\frac{-3}{-5}\right)^3$
→The difference between an integer and -6 is -5. Find the values of x.
Evaluate: 1.2 x 1.2 x 0.4