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

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

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

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Write a quadratic function from its x-intercepts and another point

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

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

\newline

Distribute $8$ : Distribute the $8$ on the left side of the equation to both terms inside the parentheses. $\newline$ $8 \times (-2x) + 8 \times (-7) = 2(x + 8)$ $\newline$ $-16x - 56 = 2(x + 8)$
Distribute $2$ : Distribute the $2$ on the right side of the equation to both terms inside the parentheses. $\newline$ $-16x - 56 = 2x + 16$
Add $16x$ : Add $16x$ to both sides of the equation to get all x terms on one side. $\newline$ $-16x + 16x - 56 = 2x + 16x + 16$ $\newline$ $0x - 56 = 18x + 16$
Simplify left side: Since $0x$ is $0$ , we can simplify the left side of the equation. $\newline$ $-56 = 18x + 16$
Subtract $16$ : Subtract $16$ from both sides of the equation to isolate the term with $x$ on the right side. $\newline$ $-56 - 16 = 18x + 16 - 16$ $\newline$ $-72 = 18x$
Divide by $18$ : Divide both sides of the equation by $18$ to solve for $x$ . $\frac{-72}{18} = \frac{18x}{18}$ $x = -4$

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