Question
$3(5x - 7) + 2(9x - 11) = 4(8x - 7) - 111$

Answer

Given, $3(5x - 7) + 2(9x - 11) = 4(8x - 7) - 11115x - 21 + 18x - 22 = 32x - 28 - 111$
$33x - 43 = 32x - 139$
$33x - 32x = -139 + 43$
$x = -96$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

In parallelogram $PQRS, O$ is the mid point of $SQ$. Find $\angle\text{S},\angle\text{R},\text{PQ},\text{QR}$ and diagonal $PR.$
Inverse Variation
Take four cylindrical containers of the same size each of radius 5 cm . Fill the containers with different types of liquids with same mass (different density) like mercury, water, alcohol, oil.
Image
Note the height in each case at which the level of liquid stands. Tabulate this information in the following table and show that this is case of inverse proportion.
DensityMercutyWaterAlcoholOil
$\left( g / cm ^3\right)$$13.6\left(D_1\right)$$0.99\left(D_2\right)$$0.78\left(D_3\right)$$0.96\left(D_4\right)$
Height (cm)$H _1$$H _2$$H _3$$H _4$
Density $\times$ Height $=$ Constant .
Simplify: $ x^2\left(x^2+1\right)-x^3(x+1)-x\left(x^3-x\right) $
Anil borrowed a sum of $Rs. 9600$ to install a handpump in his dairy. If the rate of interest is $5\frac{1}{2}\%$ per annum compounded annually, determine the compound interest which Anil will have to pay after $3$ years.
Let $D = 3, L = 7$ and $A = 8$. Find the other digits in the sum $\underline{\ \ \ \text{M}\ \ \ \text{A} \ \ \ \text{ D} \\\ \ \ \text{+}\ \ \ \ \text{A}\ \ \ \ \text{S} \ \ \ \ \ \ \ \\ \ \ \text{ +}\ \ \ \ \ \ \ \ \ \text{ A}}\\\underline{\ \text{B}\ \text{U}\ \ \ \text{L} \ \ \ \ \text{L}\ \ \ }$
The ratio between the curved surface area and the total surface area of a right circular cylinder is $1 : 2.$ Prove that its height and radius are equal.
Find the smallest number by which each of the following number must be divided to obtain a perfect cube :
128
$160 m^3$ of water is to be used to irrigate a rectangular field whose area is $800 m^2$. What will be the height of the water level in the field?
Draw the graphs for the following tables of values, with suitable scales on the axes.
(i) Cost of apples
Number of apples12345
Cost (in ₹)510152025
(ii) Distance travelled by a car
Time (in h)6 am7 am8 am9 am
Distances (in km)4080120160
(a) How much distance did the car cover during the period 7:30 am to 8 am?
(b) What was the time when the car had covered a distance of 100 km , since it's start?
(iii) Interest on deposits for a year.
Deposit (in ₹)10002000300040005000
Simple interest (in ₹)80160240320400
(a) Does the graph pass through the origin?
(b) Use the graph to find the interest on ₹ 2500 for a year.
(c) To get an interest of ₹ 280 per year, how much money should be deposited?
Write the prime factorization of the following numbers and hence find their square roots. $9604$