Solve for X in the Linear Equation x + 2x = 9

Question

x+2x=9 x+2x=9

x=? x=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Collect terms
00:06 We want to isolate the unknown X
00:11 Let's isolate the unknown X
00:19 Let's reduce as much as possible
00:24 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Combine like terms on the left side of the equation.
  • Solve for x x by isolating it on one side of the equation.

Let's work through the solution:

Step 1: Combine like terms in the equation x+2x=9 x + 2x = 9 . The terms x x and 2x 2x are like terms because they both contain the variable x x . When combined, these terms give us:

x+2x=3x x + 2x = 3x

Step 2: The equation now simplifies to:

3x=9 3x = 9

Step 3: Solve for x x by dividing both sides of the equation by 3 to isolate x x :

x=93 x = \frac{9}{3}

The calculation gives us:

x=3 x = 3

Therefore, the solution to the problem is x=3 x = 3 .

Answer

3