Chemistry Examples

$3 (2 x + 1) - 4 (x - 2) = 0$

Step 1

Simplify $3 (2 x + 1) - 4 (x - 2)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 (2 x) + 3 \cdot 1 - 4 (x - 2) = 0$

Step 1.1.2

Multiply $2$ by $3$ .

$6 x + 3 \cdot 1 - 4 (x - 2) = 0$

Step 1.1.3

Multiply $3$ by $1$ .

$6 x + 3 - 4 (x - 2) = 0$

Step 1.1.4

Apply the distributive property.

$6 x + 3 - 4 x - 4 \cdot - 2 = 0$

Step 1.1.5

Multiply $- 4$ by $- 2$ .

$6 x + 3 - 4 x + 8 = 0$

$6 x + 3 - 4 x + 8 = 0$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $4 x$ from $6 x$ .

$2 x + 3 + 8 = 0$

Step 1.2.2

Add $3$ and $8$ .

$2 x + 11 = 0$

$2 x + 11 = 0$

$2 x + 11 = 0$

Step 2

Subtract $11$ from both sides of the equation.

$2 x = - 11$

Step 3

Divide each term in $2 x = - 11$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = - 11$ by $2$ .

$\frac{2 x}{2} = \frac{- 11}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 11}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 11}{2}$

$x = \frac{- 11}{2}$

$x = \frac{- 11}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = - \frac{11}{2}$

$x = - \frac{11}{2}$

$x = - \frac{11}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{2}$

Decimal Form:

$x = - 5.5$

Mixed Number Form:

$x = - 5 \frac{1}{2}$

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