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

-8-5(6x-2)=-7(5x-6)+5

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $-8-5(6 x-2)=-7(5 x-6)+5$ $\newline$

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Find the roots of factored polynomials

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

-8-5(6 x-2)=-7(5 x-6)+5

\newline

Distribute and Simplify: First, let's distribute the $-5$ into the parentheses on the left side and the $-7$ into the parentheses on the right side. $\newline$ $-8 - 5(6x - 2) = -7(5x - 6) + 5$ $\newline$ $-8 - 30x + 10 = -35x + 42 + 5$
Combine Like Terms: Now, let's combine like terms on each side of the equation. $\newline$ $-30x + 2 = -35x + 47$
Add/Subtract Terms: Next, we'll add $35x$ to both sides to get the $x$ terms on one side. $\newline$ $-30x + 35x + 2 = -35x + 35x + 47$ $\newline$ $5x + 2 = 47$
Isolate x Term: Then, we subtract $2$ from both sides to isolate the $5x$ term. $\newline$ $5x + 2 - 2 = 47 - 2$ $\newline$ $5x = 45$
Solve for x: Finally, we divide both sides by $5$ to solve for x. $\newline$ $\frac{5x}{5} = \frac{45}{5}$ $\newline$ $x = 9$

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