6-(x-1)=3(x+9) find x
how do I do the part before the equal sign?
6-(x-1)
6 - x + 1
7 - x
thank you!
You're welcome.
To solve the equation 6-(x-1) = 3(x+9) for x, you'll need to simplify the expression on the left side of the equation first.
Start by performing the operation inside the parentheses on the left side, which is (x-1). To do this, distribute the negative sign to both terms inside the parentheses:
6 - (x-1) = 6 - x + 1 = 7 - x
Now the equation becomes: 7 - x = 3(x+9)
Next, distribute the 3 on the right side of the equation:
7 - x = 3x + 27
Now, to isolate the variable x, you need to move all terms involving x to one side of the equation. Let's move the 3x term to the left side by subtracting 3x from both sides:
7 - x - 3x = 3x + 27 - 3x
Simplifying further:
7 - 4x = 27
Next, bring the constant term to the right side by subtracting 7 from both sides:
7 - 4x - 7 = 27 - 7
Simplifying further:
-4x = 20
Finally, to solve for x, divide both sides of the equation by -4:
-4x / -4 = 20 / -4
Simplifying further gives the solution:
x = -5