Chemistry Examples

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

Step 1

Simplify $6 - (2 x - 3)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $2$ by $- 1$ .

$2 x + 3 = 6 - 2 x - - 3$

Step 1.1.3

Multiply $- 1$ by $- 3$ .

$2 x + 3 = 6 - 2 x + 3$

Step 1.2

Add $6$ and $3$ .

$2 x + 3 = - 2 x + 9$

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.

$2 x + 3 + 2 x = 9$

Step 2.2

Add $2 x$ and $2 x$ .

$4 x + 3 = 9$

Step 3

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

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Step 3.1

Subtract $3$ from both sides of the equation.

$4 x = 9 - 3$

Step 3.2

Subtract $3$ from $9$ .

$4 x = 6$

Step 4

Divide each term in $4 x = 6$ by $4$ and simplify.

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Step 4.1

Divide each term in $4 x = 6$ by $4$ .

$\frac{4 x}{4} = \frac{6}{4}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $4$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{6}{4}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{6}{4}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $6$ and $4$ .

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Step 4.3.1.1

Factor $2$ out of $6$ .

$x = \frac{2 (3)}{4}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $2$ out of $4$ .

$x = \frac{2 \cdot 3}{2 \cdot 2}$

Step 4.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot 3}{2 \cdot 2}$

Step 4.3.1.2.3

Rewrite the expression.

$x = \frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{2}$

Decimal Form:

$x = 1.5$

Mixed Number Form:

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