Algebra Examples

$x + 2 x + 4 x + 5 x + 6 x + 8 x + 9 x + 10 x = 360$

Step 1

Simplify $x + 2 x + 4 x + 5 x + 6 x + 8 x + 9 x + 10 x$ .

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Step 1.1

Add $x$ and $2 x$ .

$3 x + 4 x + 5 x + 6 x + 8 x + 9 x + 10 x = 360$

Step 1.2

Add $3 x$ and $4 x$ .

$7 x + 5 x + 6 x + 8 x + 9 x + 10 x = 360$

Step 1.3

Add $7 x$ and $5 x$ .

$12 x + 6 x + 8 x + 9 x + 10 x = 360$

Step 1.4

Add $12 x$ and $6 x$ .

$18 x + 8 x + 9 x + 10 x = 360$

Step 1.5

Add $18 x$ and $8 x$ .

$26 x + 9 x + 10 x = 360$

Step 1.6

Add $26 x$ and $9 x$ .

$35 x + 10 x = 360$

Step 1.7

Add $35 x$ and $10 x$ .

$45 x = 360$

Step 2

Divide each term in $45 x = 360$ by $45$ and simplify.

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Step 2.1

Divide each term in $45 x = 360$ by $45$ .

$\frac{45 x}{45} = \frac{360}{45}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $45$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{45 x}{45} = \frac{360}{45}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{360}{45}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $360$ by $45$ .

$x = 8$