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Find $x$ . $\newline$ $-x - 8 + 14x = -34$

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Factor sums and differences of cubes

Full solution

Q. Find

x

.

\newline

-x - 8 + 14x = -34

Combine like terms: Combine like terms on the left side of the equation. $\newline$ $-x + 14x = 13x$ $\newline$ So, the equation becomes: $\newline$ $13x - 8 = -34$
Add $8$ to isolate: Add $8$ to both sides of the equation to isolate the term with the variable $x$ . $13x - 8 + 8 = -34 + 8$ $13x = -26$
Divide to solve: Divide both sides of the equation by $13$ to solve for $x$ . $\frac{13x}{13} = \frac{-26}{13}$ $x = -2$

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