Algebra Examples

$- 9 - 2 (3.2 x - 9) + 2 x = - 4.9 x$

Step 1

Simplify $- 9 - 2 (3.2 x - 9) + 2 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 9 - 2 (3.2 x) - 2 \cdot - 9 + 2 x = - 4.9 x$

Step 1.1.2

Multiply $3.2$ by $- 2$ .

$- 9 - 6.4 x - 2 \cdot - 9 + 2 x = - 4.9 x$

Step 1.1.3

Multiply $- 2$ by $- 9$ .

$- 9 - 6.4 x + 18 + 2 x = - 4.9 x$

$- 9 - 6.4 x + 18 + 2 x = - 4.9 x$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $- 9$ and $18$ .

$- 6.4 x + 9 + 2 x = - 4.9 x$

Step 1.2.2

Add $- 6.4 x$ and $2 x$ .

$- 4.4 x + 9 = - 4.9 x$

$- 4.4 x + 9 = - 4.9 x$

$- 4.4 x + 9 = - 4.9 x$

Step 2

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

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Step 2.1

Add $4.9 x$ to both sides of the equation.

$- 4.4 x + 9 + 4.9 x = 0$

Step 2.2

Add $- 4.4 x$ and $4.9 x$ .

$0.5 x + 9 = 0$

$0.5 x + 9 = 0$

Step 3

Subtract $9$ from both sides of the equation.

$0.5 x = - 9$

Step 4

Divide each term in $0.5 x = - 9$ by $0.5$ and simplify.

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Step 4.1

Divide each term in $0.5 x = - 9$ by $0.5$ .

$\frac{0.5 x}{0.5} = \frac{- 9}{0.5}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $0.5$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{0.5 x}{0.5} = \frac{- 9}{0.5}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 9}{0.5}$

$x = \frac{- 9}{0.5}$

$x = \frac{- 9}{0.5}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 9$ by $0.5$ .

$x = - 18$

$x = - 18$

$x = - 18$

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