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

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

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Math Problems

Grade 7

Solve two-step equations with parentheses

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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: $\newline$ $x = 5$