Finite Math Examples

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

Step 1

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

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Step 1.1

Rewrite.

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

Step 1.2

Simplify by adding terms.

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

Step 1.3

Simplify each term.

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Step 1.3.1

Apply the distributive property.

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

Step 1.3.2

Multiply $2$ by $- 3$ .

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

Step 1.3.3

Apply the distributive property.

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

Step 1.3.4

Multiply $- 3$ by $- 2$ .

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

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

Step 1.4

Simplify by adding terms.

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Step 1.4.1

Combine the opposite terms in $2 x - 6 - 3 x + 6$ .

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Step 1.4.1.1

Add $- 6$ and $6$ .

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

Step 1.4.1.2

Add $2 x - 3 x$ and $0$ .

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

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

Step 1.4.2

Subtract $3 x$ from $2 x$ .

$- x = x + 2 - (x - 4)$

$- x = x + 2 - (x - 4)$

$- x = x + 2 - (x - 4)$

Step 2

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

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- x = x + 2 - x - - 4$

Step 2.1.2

Multiply $- 1$ by $- 4$ .

$- x = x + 2 - x + 4$

$- x = x + 2 - x + 4$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Combine the opposite terms in $x + 2 - x + 4$ .

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Step 2.2.1.1

Subtract $x$ from $x$ .

$- x = 0 + 2 + 4$

Step 2.2.1.2

Add $0$ and $2$ .

$- x = 2 + 4$

$- x = 2 + 4$

Step 2.2.2

Add $2$ and $4$ .

$- x = 6$

$- x = 6$

$- x = 6$

Step 3

Divide each term in $- x = 6$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- x = 6$ by $- 1$ .

$\frac{- x}{- 1} = \frac{6}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{6}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{6}{- 1}$

$x = \frac{6}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $6$ by $- 1$ .

$x = - 6$

$x = - 6$

$x = - 6$

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