Solve for k. {:[4.5+1.5 k=18-3k],[k=◻]:}

Write equation: Write down the given equation. 4.5 + 1.5k = 18 - 3kMove k terms: Move all the k terms to one side of the equation by adding 3k to both sides. 4.5 + 1.5k + 3k = 18 - 3k + 3kCombine like terms: Combine like terms on both sides of the equation. 4.5 + 4.5k = 18Subtract 4.5: Subtract 4.5 from both sides to isolate the k term. 4.5 + 4.5k - 4.5 = 18 - 4.5Simplify equation: Simplify both sides of the equation. 4.5k = 13.5Divide by 4.5: Divide both sides by 4.5 to solve for k. k = 13.5 / 4.5Calculate k: Calculate the value of k. k = 3

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Solve for
k.

{:[4.5+1.5 k=18-3k],[k=◻]:}

Solve for $k$ . $\newline$ $\begin{array}{l} 4.5+1.5 k=18-3 k \\ k=\square \end{array}$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

Full solution

Q. Solve for

k

\newline

\begin{array}{l} 4.5+1.5 k=18-3 k \\ k=\square \end{array}

Write equation: Write down the given equation. $4.5 + 1.5k = 18 - 3k$
Move $k$ terms: Move all the $k$ terms to one side of the equation by adding $3k$ to both sides. $\newline$ $4.5 + 1.5k + 3k = 18 - 3k + 3k$
Combine like terms: Combine like terms on both sides of the equation. $\newline$ $4.5 + 4.5k = 18$
Subtract $4$ . $5$ : Subtract $4.5$ from both sides to isolate the $k$ term. $\newline$ $4.5 + 4.5k - 4.5 = 18 - 4.5$
Simplify equation: Simplify both sides of the equation. $4.5k = 13.5$
Divide by $4$ . $5$ : Divide both sides by $4$ . $5$ to solve for $k$ . $k = \frac{13.5}{4.5}$
Calculate $k$ : Calculate the value of $k$ . $k = 3$