If `(7x - 13)- (12x+ 3) = 14,` then the valu of x is ______

Options

A. `-6`
B. 6
C. `2//5`
D. `-2//5`

Answer

To solve the equation \( (7x - 13) - (12x + 3) = 14 \), we will follow these steps:

### Step 1: Simplify the left side of the equation
Start by distributing the negative sign across the second set of parentheses:

\[ 7x - 13 - 12x - 3 = 14 \]

### Step 2: Combine like terms
Combine the \( x \) terms and the constant terms:

\[ (7x - 12x) + (-13 - 3) = 14 \]

This simplifies to:

\[ -5x - 16 = 14 \]

### Step 3: Isolate the variable term
Next, add 16 to both sides of the equation to isolate the term with \( x \):

\[ -5x - 16 + 16 = 14 + 16 \]

This simplifies to:

\[ -5x = 30 \]

### Step 4: Solve for \( x \)
Now, divide both sides by -5 to solve for \( x \):

\[ x = \frac{30}{-5} \]

This simplifies to:

\[ x = -6 \]

### Final Answer
The value of \( x \) is \( -6 \).

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