(j)/(2)+7=12 What is the value of j in the equation shown?

Subtract 7: We are given the equation (j)/(2) + 7 = 12. To solve for j, we first need to isolate the term containing j on one side of the equation. We can do this by subtracting 7 from both sides of the equation to get rid of the constant term on the left side. Calculation: (j)/(2) + 7 - 7 = 12 - 7Simplify Equation: After subtracting 7 from both sides, we simplify the equation to find the term with j alone on one side. Calculation: (j)/(2) = 5Multiply by 2: Now, to solve for j, we need to get rid of the fraction by multiplying both sides of the equation by 2, which is the denominator of the fraction. Calculation: 2 * (j)/(2) = 5 * 2Cancel Denominator: Multiplying both sides by 2 cancels out the denominator on the left side, leaving us with j on the left side and the product of 5 and 2 on the right side. Calculation: j = 10

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(j)/(2)+7=12
What is the value of
j in the equation shown?

$\frac{j}{2}+7=12$ $\newline$ What is the value of $j$ in the equation shown?

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Algebra 1

Solve linear equations: mixed review

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\frac{j}{2}+7=12

\newline

What is the value of

j

in the equation shown?

Subtract $7$ : We are given the equation $(j)/(2) + 7 = 12$ . To solve for $j$ , we first need to isolate the term containing $j$ on one side of the equation. We can do this by subtracting $7$ from both sides of the equation to get rid of the constant term on the left side. $\newline$ Calculation: $(j)/(2) + 7 - 7 = 12 - 7$
Simplify Equation: After subtracting $7$ from both sides, we simplify the equation to find the term with $j$ alone on one side. $\newline$ Calculation: $\frac{j}{2} = 5$
Multiply by $2$ : Now, to solve for $j$ , we need to get rid of the fraction by multiplying both sides of the equation by $2$ , which is the denominator of the fraction. $\newline$ Calculation: $2 \times \frac{j}{2} = 5 \times 2$
Cancel Denominator: Multiplying both sides by $2$ cancels out the denominator on the left side, leaving us with $j$ on the left side and the product of $5$ and $2$ on the right side. $\newline$ Calculation: $j = 10$