Pre-Algebra Examples

$320 = \frac{2}{3} x + 2 (160)$

Step 1

Rewrite the equation as $\frac{2}{3} x + 2 (160) = 320$ .

$\frac{2}{3} x + 2 (160) = 320$

Step 2

Simplify each term.

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Step 2.1

Combine $\frac{2}{3}$ and $x$ .

$\frac{2 x}{3} + 2 (160) = 320$

Step 2.2

Multiply $2$ by $160$ .

$\frac{2 x}{3} + 320 = 320$

Step 3

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

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Step 3.1

Subtract $320$ from both sides of the equation.

$\frac{2 x}{3} = 320 - 320$

Step 3.2

Subtract $320$ from $320$ .

$\frac{2 x}{3} = 0$

Step 4

Set the numerator equal to zero.

$2 x = 0$

Step 5

Divide each term in $2 x = 0$ by $2$ and simplify.

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Step 5.1

Divide each term in $2 x = 0$ by $2$ .

$\frac{2 x}{2} = \frac{0}{2}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $2$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{0}{2}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{2}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $0$ by $2$ .

$x = 0$