Pre-Algebra Examples

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

Step 1

Multiply both sides by $3$ .

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

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{4 (7 - x)}{3} \cdot 3$ .

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Step 2.1.1.1

Cancel the common factor of $3$ .

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Step 2.1.1.1.1

Cancel the common factor.

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

Step 2.1.1.1.2

Rewrite the expression.

$4 (7 - x) = x \cdot 3$

$4 (7 - x) = x \cdot 3$

Step 2.1.1.2

Apply the distributive property.

$4 \cdot 7 + 4 (- x) = x \cdot 3$

Step 2.1.1.3

Simplify the expression.

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Step 2.1.1.3.1

Multiply $4$ by $7$ .

$28 + 4 (- x) = x \cdot 3$

Step 2.1.1.3.2

Multiply $- 1$ by $4$ .

$28 - 4 x = x \cdot 3$

Step 2.1.1.3.3

Reorder $28$ and $- 4 x$ .

$- 4 x + 28 = x \cdot 3$

$- 4 x + 28 = x \cdot 3$

$- 4 x + 28 = x \cdot 3$

$- 4 x + 28 = x \cdot 3$

Step 2.2

Simplify the right side.

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Step 2.2.1

Move $3$ to the left of $x$ .

$- 4 x + 28 = 3 x$

$- 4 x + 28 = 3 x$

$- 4 x + 28 = 3 x$

Step 3

Solve for $x$ .

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Step 3.1

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

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Step 3.1.1

Subtract $3 x$ from both sides of the equation.

$- 4 x + 28 - 3 x = 0$

Step 3.1.2

Subtract $3 x$ from $- 4 x$ .

$- 7 x + 28 = 0$

$- 7 x + 28 = 0$

Step 3.2

Subtract $28$ from both sides of the equation.

$- 7 x = - 28$

Step 3.3

Divide each term in $- 7 x = - 28$ by $- 7$ and simplify.

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Step 3.3.1

Divide each term in $- 7 x = - 28$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{- 28}{- 7}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of $- 7$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{- 28}{- 7}$

Step 3.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 28}{- 7}$

$x = \frac{- 28}{- 7}$

$x = \frac{- 28}{- 7}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Divide $- 28$ by $- 7$ .

$x = 4$

$x = 4$

$x = 4$

$x = 4$

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