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

2(-7x-7)=-7x+28

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $2(-7 x-7)=-7 x+28$ $\newline$

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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

2(-7 x-7)=-7 x+28

\newline

Distribute $2$ : First, we need to distribute the $2$ across the terms inside the parentheses on the left side of the equation. $2(-7x - 7) = -7x + 28$ $-14x - 14 = -7x + 28$
Add $14x$ : Next, we will add $14x$ to both sides of the equation to get all the $x$ terms on one side. $\newline$ $-14x + 14x - 14 = -7x + 14x + 28$ $\newline$ $0x - 14 = 7x + 28$
Add $14$ : Now, we will add $14$ to both sides of the equation to isolate the constant terms on one side. $\newline$ $0x - 14 + 14 = 7x + 28 + 14$ $\newline$ $0x = 7x + 42$
Simplify equation: Since $0x$ is $0$ , we can simplify the equation further. $\newline$ $0 = 7x + 42$
Subtract $42$ : Next, we will subtract $42$ from both sides of the equation to solve for $x$ . $\newline$ $0 - 42 = 7x + 42 - 42$ $\newline$ $-42 = 7x$
Divide by $7$ : Finally, we will divide both sides of the equation by $7$ to find the value of $x$ . $-42 / 7 = 7x / 7$ $x = -6$

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