Algebra Examples

$(3 x + 1) + (x + 14) + (4 x + 5) = 180$

Step 1

Simplify $3 x + 1 + x + 14 + 4 x + 5$ .

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Step 1.1

Add $3 x$ and $x$ .

$4 x + 1 + 14 + 4 x + 5 = 180$

Step 1.2

Add $4 x$ and $4 x$ .

$8 x + 1 + 14 + 5 = 180$

Step 1.3

Simplify by adding numbers.

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Step 1.3.1

Add $1$ and $14$ .

$8 x + 15 + 5 = 180$

Step 1.3.2

Add $15$ and $5$ .

$8 x + 20 = 180$

Step 2

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

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Step 2.1

Subtract $20$ from both sides of the equation.

$8 x = 180 - 20$

Step 2.2

Subtract $20$ from $180$ .

$8 x = 160$

Step 3

Divide each term in $8 x = 160$ by $8$ and simplify.

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Step 3.1

Divide each term in $8 x = 160$ by $8$ .

$\frac{8 x}{8} = \frac{160}{8}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $8$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{8 x}{8} = \frac{160}{8}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{160}{8}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $160$ by $8$ .

$x = 20$