Basic Math Examples

$5 c + c + 7 = 3 c - 4 c + 3 c$

Step 1

Since $c$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$3 c - 4 c + 3 c = 5 c + c + 7$

Step 2

Simplify $3 c - 4 c + 3 c$ .

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Step 2.1

Subtract $4 c$ from $3 c$ .

$- c + 3 c = 5 c + c + 7$

Step 2.2

Add $- c$ and $3 c$ .

$2 c = 5 c + c + 7$

Step 3

Add $5 c$ and $c$ .

$2 c = 6 c + 7$

Step 4

Move all terms containing $c$ to the left side of the equation.

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Step 4.1

Subtract $6 c$ from both sides of the equation.

$2 c - 6 c = 7$

Step 4.2

Subtract $6 c$ from $2 c$ .

$- 4 c = 7$

Step 5

Divide each term in $- 4 c = 7$ by $- 4$ and simplify.

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Step 5.1

Divide each term in $- 4 c = 7$ by $- 4$ .

$\frac{- 4 c}{- 4} = \frac{7}{- 4}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 4$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 4 c}{- 4} = \frac{7}{- 4}$

Step 5.2.1.2

Divide $c$ by $1$ .

$c = \frac{7}{- 4}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Move the negative in front of the fraction.

$c = - \frac{7}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$c = - \frac{7}{4}$

Decimal Form:

$c = - 1.75$

Mixed Number Form:

$c = - 1 \frac{3}{4}$