Solve for c. Give an exact answer. 0.2(10-5c)=5c-16 c=

Distribute 0.2: Distribute 0.2 to the terms inside the parentheses. 0.2(10 - 5c) = 0.2 * 10 - 0.2 * 5c = 2 - cRewrite equation: Rewrite the equation after distribution. 2 - c = 5c - 16Add c terms: Add c to both sides to bring all the c terms to one side. 2 - c + c = 5c - 16 + c 2 = 6c - 16Isolate c term: Add 16 to both sides to isolate the term with c. 2 + 16 = 6c - 16 + 16 18 = 6cSolve for c: Divide both sides by 6 to solve for c. 18 / 6 = 6c / 6 3 = c

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Solve for
c.
Give an exact answer.

0.2(10-5c)=5c-16

c=

Solve for $c$ . $\newline$ Give an exact answer. $\newline$ $0.2(10-5 c)=5 c-16$ $\newline$ $c=$

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Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for

c

\newline

Give an exact answer.

\newline

0.2(10-5 c)=5 c-16

\newline

c=

Distribute $0$ . $2$ : Distribute $0.2$ to the terms inside the parentheses. $\newline$ $0.2(10 - 5c) = 0.2 \times 10 - 0.2 \times 5c$ $\newline$ $= 2 - c$
Rewrite equation: Rewrite the equation after distribution. $2 - c = 5c - 16$
Add $c$ terms: Add $c$ to both sides to bring all the $c$ terms to one side. $\newline$ $2 - c + c = 5c - 16 + c$ $\newline$ $2 = 6c - 16$
Isolate c term: Add $16$ to both sides to isolate the term with $c$ . $\newline$ $2 + 16 = 6c - 16 + 16$ $\newline$ $18 = 6c$
Solve for c: Divide both sides by $6$ to solve for c. $\newline$ $\frac{18}{6} = \frac{6c}{6}$ $\newline$ $3 = c$