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Solve the following equation for
x. Express your answer in the simplest form.

2(-6x-6)=-8x-7

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $2(-6 x-6)=-8 x-7$ $\newline$

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Complex conjugate theorem

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

2(-6 x-6)=-8 x-7

\newline

Distribute and Simplify: First, distribute the $2$ into the parentheses on the left side of the equation. $\newline$ $2 \times (-6x) + 2 \times (-6) = -8x - 7$ $\newline$ This simplifies to: $\newline$ $-12x - 12 = -8x - 7$
Add $x$ Terms: Next, add $12x$ to both sides of the equation to get the $x$ terms on one side. $\newline$ $-12x + 12x - 12 = -8x + 12x - 7$ $\newline$ This simplifies to: $\newline$ $-12 = 4x - 7$
Isolate x Term: Now, add $7$ to both sides of the equation to isolate the term with $x$ . $\newline$ $-12 + 7 = 4x - 7 + 7$ $\newline$ This simplifies to: $\newline$ $-5 = 4x$
Solve for x: Finally, divide both sides of the equation by $4$ to solve for $x$ . $\newline$ $-\frac{5}{4} = \frac{4x}{4}$ $\newline$ This simplifies to: $\newline$ $x = -\frac{5}{4}$

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