How do you solve 4x+4=9x-36?
I understand that you need to get the variables alone but to I add or subtract 9x to both sides?
4 x + 4 = 9 x - 36
9 x + 4 = 9 x + 4
===================== subtract
-5 x + 0 = 0 x - 40
-5 x = -40 divide both sides by 5
x = 8
x = 8
To solve the equation 4x + 4 = 9x - 36, you want to isolate the variable, "x," on one side of the equation.
To do this, you'll need to perform certain operations on both sides of the equation to simplify and eliminate terms. Here are the steps to solve this equation:
Step 1: Start by combining like terms on each side of the equation. On the left side, 4x remains the same, and on the right side, -36 remains the same.
4x + 4 = 9x - 36
Step 2: Next, you want to get the x terms on one side and the constant terms on the other side. To do this, subtract 4x from both sides of the equation. Remember, you want to eliminate the 4x term from the left side, so you subtract 4x from that side as well.
4x - 4x + 4 = 9x - 4x - 36
This simplifies to:
4 = 5x - 36
Step 3: To isolate the x-term, you need to move the constant term (-36) to the other side of the equation. To do this, add 36 to both sides.
4 + 36 = 5x - 36 + 36
This simplifies to:
40 = 5x
Step 4: Finally, to solve for x, divide both sides of the equation by 5.
40/5 = 5x/5
8 = x
So, the solution to the equation 4x + 4 = 9x - 36 is x = 8.
To solve the equation 4x + 4 = 9x - 36, you want to get the variable, "x," alone on one side of the equation. To do this, you need to isolate the terms containing "x" on one side and the constant terms on the other side.
First, let's make sure all terms containing "x" are on the left side by subtracting 9x from both sides of the equation:
4x + 4 - 9x = 9x - 36 - 9x
Simplifying this, we have:
-5x + 4 = -36
Now, let's isolate the constant terms by subtracting 4 from both sides:
-5x + 4 - 4 = -36 - 4
This simplifies to:
-5x = -40
Finally, divide both sides of the equation by -5 to solve for x:
-5x / -5 = -40 / -5
This leads to:
x = 8
So, the solution to the equation 4x + 4 = 9x - 36 is x = 8.