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Solve the equation. Check your solution.
4x-8+2x=-32
The solution set is _____.

Solve the equation. Check your solution. $\newline$ $4 x-8+2 x=-32$ $\newline$ The solution set is $\_\_\_\_\_$ .

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Find values of derivatives using limits

Full solution

Q. Solve the equation. Check your solution.

\newline

4 x-8+2 x=-32

\newline

The solution set is

\_\_\_\_\_

.

Combine like terms: Combine like terms on the left side of the equation. $\newline$ $4x + 2x - 8 = -32$ $\newline$ $(4x + 2x) - 8 = -32$ $\newline$ $6x - 8 = -32$
Add $8$ to isolate: Add $8$ to both sides of the equation to isolate the term with the variable. $\newline$ $6x - 8 + 8 = -32 + 8$ $\newline$ $6x = -24$
Divide by $6$ : Divide both sides of the equation by $6$ to solve for $x$ . $\frac{6x}{6} = \frac{-24}{6}$ $x = -4$
Check solution: Check the solution by substituting $x = -4$ back into the original equation. $4(-4) - 8 + 2(-4) = -32$ $-16 - 8 - 8 = -32$ $-32 = -32$ The left side of the equation equals the right side, so the solution $x = -4$ is correct.

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