2x-9/3=8-3x
Please help me solve this and show your work thanks
Is it?
2x - (9/3)
or
(2x -9) / 3
(2x-9)/3
So how would you work it out 2x-9/3=8-3x
(2x-9)/3=8-3x
2x - 9 = 24 - 9x
11x = 33
x = 33/11
x = 3
To solve the equation 2x - 9/3 = 8 - 3x, we need to simplify both sides of the equation and isolate the variable x.
Step 1: Simplify both sides
On the left side of the equation, we can simplify the expression: 2x - 9/3 = 2x - 3.
On the right side of the equation, we can simplify the expression: 8 - 3x = -3x + 8.
Our equation now becomes: 2x - 3 = -3x + 8.
Step 2: Combine like terms
To do this, we need to get all the terms with x on one side of the equation and the constant terms on the other side.
First, let's move the -3x term to the left side by adding 3x to both sides:
2x - 3 + 3x = -3x + 8 + 3x.
This simplifies to:
5x - 3 = 8.
Step 3: Isolate the variable x
Next, we need to move the constant term -3 to the right side of the equation by adding 3 to both sides:
5x - 3 + 3 = 8 + 3.
This simplifies to:
5x = 11.
Step 4: Solve for x
To solve for x, we need to isolate x by dividing both sides of the equation by the coefficient of x, which is 5:
(5x)/5 = 11/5.
This simplifies to:
x = 11/5.
So, the solution to the equation 2x - 9/3 = 8 - 3x is x = 11/5.