Solve for c. {:[5c+16.5=13.5+10 c],[c=]:}

Write equation: Write down the equation. 5c + 16.5 = 13.5 + 10c We need to solve for c by isolating it on one side of the equation.Rearrange equation: Move all terms containing c to one side and constant terms to the other side. Subtract 5c from both sides to move the c terms to the right side. 5c + 16.5 - 5c = 13.5 + 10c - 5c Simplify the equation. 16.5 = 13.5 + 5cSimplify equation: Subtract 13.5 from both sides to isolate the term with c. 16.5 - 13.5 = 13.5 + 5c - 13.5 Simplify the equation. 3 = 5cIsolate term with c: Divide both sides by 5 to solve for c. 3 / 5 = 5c / 5 Simplify the equation. 0.6 = c

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Solve for
c.

{:[5c+16.5=13.5+10 c],[c=]:}

Solve for $c$ . $\newline$ $\begin{array}{l} 5 c+16.5=13.5+10 c \\ c=\square \end{array}$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

c

\newline

\begin{array}{l} 5 c+16.5=13.5+10 c \\ c=\square \end{array}

Write equation: Write down the equation. $\newline$ $5c + 16.5 = 13.5 + 10c$ $\newline$ We need to solve for $c$ by isolating it on one side of the equation.
Rearrange equation: Move all terms containing $c$ to one side and constant terms to the other side. $\newline$ Subtract $5c$ from both sides to move the $c$ terms to the right side. $\newline$ $5c + 16.5 - 5c = 13.5 + 10c - 5c$ $\newline$ Simplify the equation. $\newline$ $16.5 = 13.5 + 5c$
Simplify equation: Subtract $13.5$ from both sides to isolate the term with $c$ . $\newline$ $16.5 - 13.5 = 13.5 + 5c - 13.5$ $\newline$ Simplify the equation. $\newline$ $3 = 5c$
Isolate term with c: Divide both sides by $5$ to solve for $c$ .
$\frac{3}{5} = \frac{5c}{5}$
Simplify the equation.
$0.6 = c$