Solve for X in 7-8(x+4)=-3x: Linear Equation Solution

To solve the equation $7 - 8(x + 4) = -3x$, we'll go through these steps:

• Step 1: Distribute $-8$ across the terms inside the parentheses:

$7 - 8 \cdot x - 8 \cdot 4 = -3x$
This simplifies to $7 - 8x - 32 = -3x$.

• Step 2: Simplify both sides by combining like terms:

$7 - 32 = -25$, so the equation becomes:
$-8x - 25 = -3x$.

• Step 3: Isolate the variable $x$ by moving all terms involving $x$ to one side:

To move $-8x$ to the right side, add $8x$ to both sides:
$-25 = -3x + 8x$
This simplifies to:
$-25 = 5x$.

• Step 4: Solve for $x$ by dividing both sides by 5:

$x = \frac{-25}{5}$, which gives us:
$x = -5$.

Therefore, the solution to the equation is $x = -5$.

The correct choice matches this solution as option $\boldsymbol{-5}$.