3x+4(x+1)=x+2(x+3)

2 min read Jul 25, 2024

Solving the Equation: 3x + 4(x+1) = x + 2(x+3)

In this article, we will solve the equation 3x + 4(x+1) = x + 2(x+3) step by step.

Let's start by simplifying the left side of the equation:

3x + 4(x+1) = 3x + 4x + 4 = 7x + 4

Now, let's simplify the right side of the equation:

x + 2(x+3) = x + 2x + 6 = 3x + 6

Now that we have simplified both sides of the equation, we can equate them:

7x + 4 = 3x + 6

To solve for x, we can subtract 3x from both sides of the equation:

7x - 3x + 4 = 6 4x + 4 = 6

Next, we can subtract 4 from both sides of the equation:

4x = 2 x = 2/4 x = 1/2

Therefore, the value of x is 1/2.

In this article, we have solved the equation 3x + 4(x+1) = x + 2(x+3) step by step. The final answer is x = 1/2.