Algebra Examples

$6 x + 10 + 2 x + 5 + 3 x - 11 = 180$

Step 1

Simplify $6 x + 10 + 2 x + 5 + 3 x - 11$ .

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Step 1.1

Add $6 x$ and $2 x$ .

$8 x + 10 + 5 + 3 x - 11 = 180$

Step 1.2

Add $8 x$ and $3 x$ .

$11 x + 10 + 5 - 11 = 180$

Step 1.3

Simplify by adding and subtracting.

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Step 1.3.1

Add $10$ and $5$ .

$11 x + 15 - 11 = 180$

Step 1.3.2

Subtract $11$ from $15$ .

$11 x + 4 = 180$

Step 2

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

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Step 2.1

Subtract $4$ from both sides of the equation.

$11 x = 180 - 4$

Step 2.2

Subtract $4$ from $180$ .

$11 x = 176$

Step 3

Divide each term in $11 x = 176$ by $11$ and simplify.

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Step 3.1

Divide each term in $11 x = 176$ by $11$ .

$\frac{11 x}{11} = \frac{176}{11}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $11$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{11 x}{11} = \frac{176}{11}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{176}{11}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $176$ by $11$ .

$x = 16$