Solve for x. -4(-2x-4)+2x+5=31 Answer:

Distribute Terms: Distribute the -4 inside the parentheses. -4 * -2x gives us 8x, and -4 * -4 gives us 16. So the equation becomes 8x + 16 + 2x + 5 = 31.Combine Like Terms: Combine like terms on the left side of the equation. 8x and 2x are like terms, so we add them together to get 10x. We also combine 16 and 5 to get 21. The equation now is 10x + 21 = 31.Isolate x Term: Subtract 21 from both sides of the equation to isolate the term with x. 10x + 21 - 21 = 31 - 21 simplifies to 10x = 10.Solve for x: Divide both sides of the equation by 10 to solve for x. 10x / 10 = 10 / 10 simplifies to x = 1.

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

\mathrm{x}

\newline

-4(-2 x-4)+2 x+5=31

\newline

Answer:

Distribute Terms: Distribute the $-4$ inside the parentheses. $\newline$ $-4 \times -2x$ gives us $8x$ , and $-4 \times -4$ gives us $16$ . So the equation becomes $8x + 16 + 2x + 5 = 31$ .
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ $8x$ and $2x$ are like terms, so we add them together to get $10x$ . We also combine $16$ and $5$ to get $21$ . The equation now is $10x + 21 = 31$ .
Isolate x Term: Subtract $21$ from both sides of the equation to isolate the term with $x$ . $\newline$ $10x + 21 - 21 = 31 - 21$ simplifies to $10x = 10$ .
Solve for x: Divide both sides of the equation by $10$ to solve for x. $\frac{10x}{10} = \frac{10}{10}$ simplifies to $x = 1$ .