Solve for x. 2(x-1)+x+5=-27 Answer:

Distribute 2 into parentheses: Distribute the 2 into the parentheses. We need to apply the distributive property to the expression 2(x-1). This means we multiply 2 by both x and -1. 2(x-1) = 2*x - 2*1 = 2x - 2Combine like terms: Combine like terms on the left side of the equation. After distributing, we have 2x - 2 + x + 5. We combine the x terms and the constant terms. 2x + x = 3x -2 + 5 = 3 So, the equation now is 3x + 3 = -27.Subtract 3 from both sides: Subtract 3 from both sides of the equation to isolate the term with x. We want to get x by itself, so we need to remove the constant term from the left side. 3x + 3 - 3 = -27 - 3 This simplifies to 3x = -30.Divide both sides: Divide both sides of the equation by 3 to solve for x. To isolate x, we divide both sides of the equation by 3. 3x / 3 = -30 / 3 This simplifies to x = -10.

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Solve for $\mathrm{x}$ . $\newline$ $2(x-1)+x+5=-27$ $\newline$ Answer:

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Grade 7

Solve two-step equations with parentheses

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Q. Solve for

\mathrm{x}

\newline

2(x-1)+x+5=-27

\newline

Answer:

Distribute $2$ into parentheses: Distribute the $2$ into the parentheses. $\newline$ We need to apply the distributive property to the expression $2(x-1)$ . This means we multiply $2$ by both $x$ and $-1$ . $\newline$ $2(x-1) = 2\times x - 2\times 1 = 2x - 2$
Combine like terms: Combine like terms on the left side of the equation. $\newline$ After distributing, we have $2x - 2 + x + 5$ . We combine the $x$ terms and the constant terms. $\newline$ $2x + x = 3x$ $\newline$ $-2 + 5 = 3$ $\newline$ So, the equation now is $3x + 3 = -27$ .
Subtract $3$ from both sides: Subtract $3$ from both sides of the equation to isolate the term with $x$ . We want to get $x$ by itself, so we need to remove the constant term from the left side. $3x + 3 - 3 = -27 - 3$ This simplifies to $3x = -30$ .
Divide both sides: Divide both sides of the equation by $3$ to solve for $x$ . $\newline$ To isolate $x$ , we divide both sides of the equation by $3$ . $\newline$ $\frac{3x}{3} = \frac{-30}{3}$ $\newline$ This simplifies to $x = -10$ .