Question:medium

Find \(x\): \(4(x - 2) = 3(x + 5)\).

Show Hint

When solving linear equations, always expand brackets first, then collect like terms and isolate the variable.
Updated On: Apr 29, 2026
  • \(23\)
  • \(17\)
  • \(13\)
  • \(7\)
Show Solution

The Correct Option is A

Solution and Explanation

Step 1: Understanding the Question:
The task is to find the value of the unknown variable \(x\) that satisfies the given linear equation.
Step 2: Key Formula or Approach:
Apply the distributive property \(a(b + c) = ab + ac\) to remove parentheses, and then isolate the variable.
Step 3: Detailed Explanation:
Expand both sides of the equation:
\[ 4x - 8 = 3x + 15 \]
Group the \(x\) terms on the left side and the constant terms on the right side:
\[ 4x - 3x = 15 + 8 \]
Simplify both sides:
\[ x = 23 \]
Step 4: Final Answer:
The value of \(x\) is \(23\).
Was this answer helpful?
0

Top Questions on Linear Equations

Questions Asked in VITEEE exam

Read the passage carefully and choose the best answer to each question out of the four alternatives.
“People very often complain that poverty is a great evil and that it is not possible to be happy unless one has a lot of money. Actually, this is not necessarily true. Even a poor man, living in a small hut with none of the comforts and luxuries of life, may be quite contented with his lot and achieve a measure of happiness. On the other hand, a very rich man, living in a palace and enjoying everything that money can buy, may still be miserable, if, for example, he does not enjoy good health or his only son has taken to evil ways. Apart from this, he may have a lot of business worries which keep him on tenterhooks most of the time. There is a limit to what money can buy and there are many things which are necessary for a man’s happiness and which money cannot procure. Real happiness is a matter of the right attitude and the capacity of being contented with whatever you have is the most important ingredient of this attitude.”
View Solution