Solve for u. 2(u − 7) = 6 u = _____

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 each term inside the parentheses. 2(u − 7) = 2*u − 2*7 2u − 14 = 6Add 14: Add 14 to both sides of the equation to isolate the term with the variable u. We want to get u by itself on one side of the equation, so we need to undo the subtraction of 14. 2u − 14 + 14 = 6 + 14 2u = 20Divide by 2: Divide both sides of the equation by 2 to solve for u. Now that we have 2u, we need to divide by 2 to find the value of u. 2u / 2 = 20 / 2 u = 10

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

u

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2(u - 7) = 6

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u =

_____

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 each term inside the parentheses. $\newline$ $2(u − 7) = 2\cdot u − 2\cdot 7$ $\newline$ $2u − 14 = 6$
Add $14$ : Add $14$ to both sides of the equation to isolate the term with the variable $u$ . We want to get $u$ by itself on one side of the equation, so we need to undo the subtraction of $14$ . $2u - 14 + 14 = 6 + 14$ $2u = 20$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $u$ . Now that we have $2u$ , we need to divide by $2$ to find the value of $u$ . $\frac{2u}{2} = \frac{20}{2}$ $u = 10$