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Solve for
x.

-2(-5x-4)-5x+3=36
Answer:

Solve for $\mathrm{x}$ . $\newline$ $-2(-5 x-4)-5 x+3=36$ $\newline$ Answer:

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Solve two-step equations with parentheses

Full solution

Q. Solve for

\mathrm{x}

.

\newline

-2(-5 x-4)-5 x+3=36

\newline

Answer:

Distribute Terms: Distribute the $-2$ across the terms inside the parentheses. $\newline$ $-2 \times -5x$ gives us $10x$ , and $-2 \times -4$ gives us $8$ . So the equation becomes: $\newline$ $10x + 8 - 5x + 3 = 36$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ $10x$ and $-5x$ combine to $5x$ , and $8$ and $3$ combine to $11$ . So the equation now reads: $\newline$ $5x + 11 = 36$
Isolate x Term: Subtract $11$ from both sides of the equation to isolate the term with $x$ . $\newline$ $5x + 11 - 11 = 36 - 11$ $\newline$ This simplifies to: $\newline$ $5x = 25$
Solve for x: Divide both sides of the equation by $5$ to solve for $x$ . $\newline$ $\frac{5x}{5} = \frac{25}{5}$ $\newline$ This simplifies to: $\newline$ $x = 5$

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