Algebra Examples

$\frac{7 - 3 f}{4} = 2$

Step 1

Multiply both sides by $4$ .

$\frac{7 - 3 f}{4} \cdot 4 = 2 \cdot 4$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{7 - 3 f}{4} \cdot 4$ .

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Step 2.1.1.1

Cancel the common factor of $4$ .

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Step 2.1.1.1.1

Cancel the common factor.

$\frac{7 - 3 f}{4} \cdot 4 = 2 \cdot 4$

Step 2.1.1.1.2

Rewrite the expression.

$7 - 3 f = 2 \cdot 4$

$7 - 3 f = 2 \cdot 4$

Step 2.1.1.2

Reorder $7$ and $- 3 f$ .

$- 3 f + 7 = 2 \cdot 4$

$- 3 f + 7 = 2 \cdot 4$

$- 3 f + 7 = 2 \cdot 4$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $2$ by $4$ .

$- 3 f + 7 = 8$

$- 3 f + 7 = 8$

$- 3 f + 7 = 8$

Step 3

Solve for $f$ .

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Step 3.1

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

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Step 3.1.1

Subtract $7$ from both sides of the equation.

$- 3 f = 8 - 7$

Step 3.1.2

Subtract $7$ from $8$ .

$- 3 f = 1$

$- 3 f = 1$

Step 3.2

Divide each term in $- 3 f = 1$ by $- 3$ and simplify.

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Step 3.2.1

Divide each term in $- 3 f = 1$ by $- 3$ .

$\frac{- 3 f}{- 3} = \frac{1}{- 3}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $- 3$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{- 3 f}{- 3} = \frac{1}{- 3}$

Step 3.2.2.1.2

Divide $f$ by $1$ .

$f = \frac{1}{- 3}$

$f = \frac{1}{- 3}$

$f = \frac{1}{- 3}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Move the negative in front of the fraction.

$f = - \frac{1}{3}$

$f = - \frac{1}{3}$

$f = - \frac{1}{3}$

$f = - \frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$f = - \frac{1}{3}$

Decimal Form:

$f = - 0.\overline{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$