Algebra Examples

$\frac{3}{4} (8 x) - x = - 2 (x - 7)$

Step 1

Simplify $\frac{3}{4} \cdot (8 x) - x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Cancel the common factor of $4$ .

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Step 1.1.1.1

Factor $4$ out of $8 x$ .

$\frac{3}{4} \cdot (4 (2 x)) - x = - 2 (x - 7)$

Step 1.1.1.2

Cancel the common factor.

$\frac{3}{4} \cdot (4 (2 x)) - x = - 2 (x - 7)$

Step 1.1.1.3

Rewrite the expression.

$3 \cdot (2 x) - x = - 2 (x - 7)$

$3 \cdot (2 x) - x = - 2 (x - 7)$

Step 1.1.2

Multiply $2$ by $3$ .

$6 x - x = - 2 (x - 7)$

$6 x - x = - 2 (x - 7)$

Step 1.2

Subtract $x$ from $6 x$ .

$5 x = - 2 (x - 7)$

$5 x = - 2 (x - 7)$

Step 2

Simplify $- 2 (x - 7)$ .

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Step 2.1

Apply the distributive property.

$5 x = - 2 x - 2 \cdot - 7$

Step 2.2

Multiply $- 2$ by $- 7$ .

$5 x = - 2 x + 14$

$5 x = - 2 x + 14$

Step 3

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

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Step 3.1

Add $2 x$ to both sides of the equation.

$5 x + 2 x = 14$

Step 3.2

Add $5 x$ and $2 x$ .

$7 x = 14$

$7 x = 14$

Step 4

Divide each term in $7 x = 14$ by $7$ and simplify.

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Step 4.1

Divide each term in $7 x = 14$ by $7$ .

$\frac{7 x}{7} = \frac{14}{7}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $7$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{7 x}{7} = \frac{14}{7}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{14}{7}$

$x = \frac{14}{7}$

$x = \frac{14}{7}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $14$ by $7$ .

$x = 2$

$x = 2$

$x = 2$

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