Algebra Examples

$5 (3 x - 14) + 2 (x + 27) = 360$

Step 1

Simplify $5 (3 x - 14) + 2 (x + 27)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 (3 x) + 5 \cdot - 14 + 2 (x + 27) = 360$

Step 1.1.2

Multiply $3$ by $5$ .

$15 x + 5 \cdot - 14 + 2 (x + 27) = 360$

Step 1.1.3

Multiply $5$ by $- 14$ .

$15 x - 70 + 2 (x + 27) = 360$

Step 1.1.4

Apply the distributive property.

$15 x - 70 + 2 x + 2 \cdot 27 = 360$

Step 1.1.5

Multiply $2$ by $27$ .

$15 x - 70 + 2 x + 54 = 360$

$15 x - 70 + 2 x + 54 = 360$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $15 x$ and $2 x$ .

$17 x - 70 + 54 = 360$

Step 1.2.2

Add $- 70$ and $54$ .

$17 x - 16 = 360$

$17 x - 16 = 360$

$17 x - 16 = 360$

Step 2

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

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Step 2.1

Add $16$ to both sides of the equation.

$17 x = 360 + 16$

Step 2.2

Add $360$ and $16$ .

$17 x = 376$

$17 x = 376$

Step 3

Divide each term in $17 x = 376$ by $17$ and simplify.

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Step 3.1

Divide each term in $17 x = 376$ by $17$ .

$\frac{17 x}{17} = \frac{376}{17}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $17$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{17 x}{17} = \frac{376}{17}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{376}{17}$

$x = \frac{376}{17}$

$x = \frac{376}{17}$

$x = \frac{376}{17}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{376}{17}$

Decimal Form:

$x = 22.11764705 \dots$

Mixed Number Form:

$x = 22 \frac{2}{17}$

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