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

2x+6=-12 x+6

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $2 x+6=-12 x+6$ $\newline$

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Solve a quadratic equation using square roots

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

2 x+6=-12 x+6

\newline

Collect like terms: First, we need to collect like terms to one side of the equation to isolate the variable $x$ . We can do this by adding $12x$ to both sides of the equation and subtracting $6$ from both sides. $2x + 6 + 12x - 6 = -12x + 6 + 12x - 6$
Simplify both sides: Now, we simplify both sides of the equation. $\newline$ $(2x + 12x) + (6 - 6) = (-12x + 12x) + (6 - 6)$ $\newline$ $14x = 0$
Solve for x: Since $14x$ equals $0$ , we can solve for $x$ by dividing both sides by $14$ . $\newline$ $x = \frac{0}{14}$
Final value of x: Dividing $0$ by any non-zero number is $0$ , so the value of $x$ is $0$ . $\newline$ $x = 0$

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