To find the value of x in the equation 2x + 3 = 9 – 3x + 1, we first need to simplify the equation.
Step 1: Combine like terms on the right side of the equation:
9 – 3x + 1 = 10 – 3x
So, the equation becomes:
2x + 3 = 10 – 3x
Step 2: Next, we want to get all the x terms on one side. We can add 3x to both sides of the equation:
2x + 3 + 3x = 10 – 3x + 3x
This simplifies to:
5x + 3 = 10
Step 3: Now, let’s isolate the x variable. We can do that by subtracting 3 from both sides:
5x + 3 – 3 = 10 – 3
This gives us:
5x = 7
Step 4: Finally, divide both sides by 5 to solve for x:
x = 7 / 5
This means:
x = 1.4
So, the value of x in the equation is 1.4.