Pre-Algebra Examples

$x + \sqrt{3} + 3 x = 18 - 2 x$

Step 1

Add $x$ and $3 x$ .

$4 x + \sqrt{3} = 18 - 2 x$

Step 2

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

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Step 2.1

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

$4 x + \sqrt{3} + 2 x = 18$

Step 2.2

Add $4 x$ and $2 x$ .

$6 x + \sqrt{3} = 18$

Step 3

Subtract $\sqrt{3}$ from both sides of the equation.

$6 x = 18 - \sqrt{3}$

Step 4

Divide each term in $6 x = 18 - \sqrt{3}$ by $6$ and simplify.

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Step 4.1

Divide each term in $6 x = 18 - \sqrt{3}$ by $6$ .

$\frac{6 x}{6} = \frac{18}{6} + \frac{- \sqrt{3}}{6}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $6$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{18}{6} + \frac{- \sqrt{3}}{6}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{18}{6} + \frac{- \sqrt{3}}{6}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify each term.

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Step 4.3.1.1

Divide $18$ by $6$ .

$x = 3 + \frac{- \sqrt{3}}{6}$

Step 4.3.1.2

Move the negative in front of the fraction.

$x = 3 - \frac{\sqrt{3}}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = 3 - \frac{\sqrt{3}}{6}$

Decimal Form:

$x = 2.71132486 \dots$