Solve. 2(3x+2)=22 Answer: x=

Distribute and Multiply: Distribute the 2 across the parentheses. We need to multiply 2 by each term inside the parentheses (3x and 2). 2 * 3x = 6x 2 * 2 = 4 So, the equation becomes 6x + 4 = 22.Subtract to Isolate: Subtract 4 from both sides of the equation to isolate the term with the variable x. 6x + 4 - 4 = 22 - 4 This simplifies to 6x = 18.Divide to Solve: Divide both sides of the equation by 6 to solve for x. 6x / 6 = 18 / 6 This simplifies to x = 3.

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve.

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2(3 x+2)=22

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Answer:

x=

Distribute and Multiply: Distribute the $2$ across the parentheses. $\newline$ We need to multiply $2$ by each term inside the parentheses ( $3x$ and $2$ ). $\newline$ $2 \times 3x = 6x$ $\newline$ $2 \times 2 = 4$ $\newline$ So, the equation becomes $6x + 4 = 22$ .
Subtract to Isolate: Subtract $4$ from both sides of the equation to isolate the term with the variable $x$ . $\newline$ $6x + 4 - 4 = 22 - 4$ $\newline$ This simplifies to $6x = 18$ .
Divide to Solve: Divide both sides of the equation by $6$ to solve for $x$ . $\newline$ $\frac{6x}{6} = \frac{18}{6}$ $\newline$ This simplifies to $x = 3$ .