Solve for b. 2(b − 10) = 14 b = _____

Distribute 2: Distribute the 2 across the parentheses. We need to apply the distributive property to remove the parentheses. This means we multiply 2 by both b and -10. 2(b − 10) = 2*b − 2*10 2b − 20 = 14Add 20: Add 20 to both sides of the equation to isolate the term with the variable b. We want to get b by itself on one side of the equation, so we need to undo the subtraction of 20. 2b − 20 + 20 = 14 + 20 2b = 34Divide by 2: Divide both sides of the equation by 2 to solve for b. Now we divide both sides by 2 to find the value of b. 2b/2 = 34/2 b = 17

Home

Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

b

\newline

2(b - 10) = 14

\newline

b =

_____

Distribute $2$ : Distribute the $2$ across the parentheses. $\newline$ We need to apply the distributive property to remove the parentheses. This means we multiply $2$ by both $b$ and $-10$ . $\newline$ $2(b − 10) = 2\cdot b − 2\cdot 10$ $\newline$ $2b − 20 = 14$
Add $20$ : Add $20$ to both sides of the equation to isolate the term with the variable $b$ . We want to get $b$ by itself on one side of the equation, so we need to undo the subtraction of $20$ . $2b - 20 + 20 = 14 + 20$ $2b = 34$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $b$ . $\newline$ Now we divide both sides by $2$ to find the value of $b$ . $\newline$ $\frac{2b}{2} = \frac{34}{2}$ $\newline$ $b = 17$