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

-3x+5(9x+1)=-2-6(-4x-9)

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $-3 x+5(9 x+1)=-2-6(-4 x-9)$ $\newline$

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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

-3 x+5(9 x+1)=-2-6(-4 x-9)

\newline

Combine Like Terms: Now, combine like terms on both sides of the equation. $\newline$ On the left side, combine $-3x$ and $45x$ . $\newline$ $-3x + 45x = 42x$ $\newline$ On the right side, there's only $24x$ . $\newline$ So, the equation now is: $\newline$ $42x + 5 = 54 + 24x$
Get x Terms Together: Next, get all the x terms on one side and the constants on the other side. $\newline$ Subtract $24x$ from both sides. $\newline$ $42x - 24x + 5 = 54 + 24x - 24x$ $\newline$ This simplifies to: $\newline$ $18x + 5 = 54$
Subtract Constants: Now, subtract $5$ from both sides to isolate the $x$ term. $\newline$ $18x + 5 - 5 = 54 - 5$ $\newline$ This gives us: $\newline$ $18x = 49$
Divide by $18$ : Finally, divide both sides by $18$ to solve for x. $\newline$ $\frac{18x}{18} = \frac{49}{18}$ $\newline$ $x = \frac{49}{18}$

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