Question$$\begin{array}{l} 76(x+6)=24 \\ 8100=-5(8 x+4) \end{array}$$ $-152=-8 x-7(8-8 x)$

Studdy Solution
Solve the equation $-152 = -8x - 7(8 - 8x)$.
First, distribute the $-7$:
$$-152 = -8x - 56 + 56x$$
Combine like terms:
$$-152 = 48x - 56$$
Next, add 56 to both sides to isolate the term with $x$:
$$-152 + 56 = 48x$$
$$-96 = 48x$$
Finally, divide both sides by 48 to solve for $x$:
$$x = \frac{-96}{48}$$
Simplify the fraction:
$$x = -2$$
The solutions are:
1. $x = -\frac{108}{19}$
2. $x = -203$
3. $x = -2$