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Solve the equation $5(2x+1) = 25$

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Solve two-step equations with parentheses

Full solution

Q. Solve the equation

5(2x+1) = 25

Distribute $5$ : Distribute the $5$ across the terms inside the parentheses. $\newline$ We need to multiply $5$ by each term inside the parentheses ( $2x$ and $1$ ). $\newline$ Calculation: $5 \times 2x + 5 \times 1 = 10x + 5$
Set equal to $25$ : Set the distributed expression equal to $25$ . $\newline$ The equation now looks like this: $10x + 5 = 25$
Subtract to isolate: Subtract $5$ from both sides of the equation to isolate the term with the variable $x$ . We want to get $x$ by itself, so we need to remove the constant term from the left side. Calculation: $10x + 5 - 5 = 25 - 5$ , which simplifies to $10x = 20$
Divide to solve: Divide both sides of the equation by $10$ to solve for $x$ . We divide by the coefficient of $x$ to find the value of $x$ . Calculation: $\frac{10x}{10} = \frac{20}{10}$ , which simplifies to $x = 2$

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