What value of x makes this equation true:
3x + 2 + (-1) equals x + 6 + -1
???
3x + 2 + (-1) = x + 6 + -1
3x + 1 = x + 5
2x = 4
x = ?
To determine the value of x that makes the equation true, we need to simplify the given equation step by step.
Let's start by simplifying each side of the equation:
On the left side:
3x + 2 + (-1) = 3x + 2 - 1 = 3x + 1
On the right side:
x + 6 + (-1) = x + 6 - 1 = x + 5
Now, we have the equation simplified to:
3x + 1 = x + 5
To solve for x, we can use the properties of equations to isolate the x term on one side. Let's do that:
Subtract x from both sides:
3x - x + 1 = x - x + 5
2x + 1 = 5
Next, subtract 1 from both sides:
2x + 1 - 1 = 5 - 1
2x = 4
Lastly, divide both sides by 2 to solve for x:
2x/2 = 4/2
x = 2
Therefore, the value of x that makes the equation true is x = 2.