Distribute Terms: Distribute the 5 across the terms inside the parentheses. We need to multiply 5 by each term inside the parentheses (2x and 1). 5 * 2x = 10x 5 * 1 = 5 So, 5(2x+1) becomes 10x + 5.Write New Equation: Write the new equation after distribution. The equation after distribution is 10x + 5 = 35.Subtract 5: Subtract 5 from both sides of the equation to isolate the term with the variable x. 10x + 5 - 5 = 35 - 5 This simplifies to 10x = 30.Divide by 10: Divide both sides of the equation by 10 to solve for x. 10x / 10 = 30 / 10 This simplifies to x = 3.

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$5(2x+1) = 35$ Find $x$

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Math Problems

Grade 7

Solve two-step equations with parentheses

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5(2x+1) = 35

Find

x

Distribute Terms: Distribute the $5$ across the terms inside the parentheses. $\newline$ We need to multiply $5$ by each term inside the parentheses ( $2x$ and $1$ ). $\newline$ $5 \times 2x = 10x$ $\newline$ $5 \times 1 = 5$ $\newline$ So, $5(2x+1)$ becomes $10x + 5$ .
Write New Equation: Write the new equation after distribution. $\newline$ The equation after distribution is $10x + 5 = 35$ .
Subtract $5$ : Subtract $5$ from both sides of the equation to isolate the term with the variable $x$ . $\newline$ $10x + 5 - 5 = 35 - 5$ $\newline$ This simplifies to $10x = 30$ .
Divide by $10$ : Divide both sides of the equation by $10$ to solve for $x$ . $\frac{10x}{10} = \frac{30}{10}$ This simplifies to $x = 3$ .