Finite Math Examples

$7 (3 x - 4) = 49$

Step 1

Divide each term in $7 (3 x - 4) = 49$ by $7$ and simplify.

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Step 1.1

Divide each term in $7 (3 x - 4) = 49$ by $7$ .

$\frac{7 (3 x - 4)}{7} = \frac{49}{7}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $7$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{7 (3 x - 4)}{7} = \frac{49}{7}$

Step 1.2.1.2

Divide $3 x - 4$ by $1$ .

$3 x - 4 = \frac{49}{7}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $49$ by $7$ .

$3 x - 4 = 7$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Add $4$ to both sides of the equation.

$3 x = 7 + 4$

Step 2.2

Add $7$ and $4$ .

$3 x = 11$

Step 3

Divide each term in $3 x = 11$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 x = 11$ by $3$ .

$\frac{3 x}{3} = \frac{11}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{11}{3}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{11}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{11}{3}$

Decimal Form:

$x = 3.\overline{6}$

Mixed Number Form:

$x = 3 \frac{2}{3}$