Solve the following eqations.Check your result in each case
`8X-3=9-2X`

Answer

To solve the equation \( 8X - 3 = 9 - 2X \), we will follow these steps:

### Step 1: Move all terms involving \( X \) to one side
We start with the equation:
\[ 8X - 3 = 9 - 2X \]

To isolate \( X \), we can add \( 2X \) to both sides:
\[ 8X + 2X - 3 = 9 \]

### Step 2: Combine like terms
Now, combine the \( X \) terms on the left side:
\[ 10X - 3 = 9 \]

### Step 3: Move the constant term to the other side
Next, we add \( 3 \) to both sides to eliminate the constant on the left:
\[ 10X = 9 + 3 \]

### Step 4: Simplify the equation
Now, simplify the right side:
\[ 10X = 12 \]

### Step 5: Solve for \( X \)
To find \( X \), divide both sides by \( 10 \):
\[ X = \frac{12}{10} \]

### Step 6: Simplify the fraction
This can be simplified to:
\[ X = 1.2 \]

### Step 7: Check the solution
Now, we will check if our solution is correct by substituting \( X = 1.2 \) back into the original equation.

**Left-hand side:**
\[ 8X - 3 = 8(1.2) - 3 = 9.6 - 3 = 6.6 \]

**Right-hand side:**
\[ 9 - 2X = 9 - 2(1.2) = 9 - 2.4 = 6.6 \]

Since both sides are equal, our solution is verified.

### Final Answer
The solution to the equation \( 8X - 3 = 9 - 2X \) is:
\[ X = 1.2 \]

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