Pre-Algebra Examples

$- 4 = \frac{3 x - 2}{2}$

Step 1

Rewrite the equation as $\frac{3 x - 2}{2} = - 4$ .

$\frac{3 x - 2}{2} = - 4$

Step 2

Multiply both sides by $2$ .

$\frac{3 x - 2}{2} \cdot 2 = - 4 \cdot 2$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $2$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{3 x - 2}{2} \cdot 2 = - 4 \cdot 2$

Step 3.1.1.2

Rewrite the expression.

$3 x - 2 = - 4 \cdot 2$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 4$ by $2$ .

$3 x - 2 = - 8$

Step 4

Solve for $x$ .

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Step 4.1

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

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Step 4.1.1

Add $2$ to both sides of the equation.

$3 x = - 8 + 2$

Step 4.1.2

Add $- 8$ and $2$ .

$3 x = - 6$

Step 4.2

Divide each term in $3 x = - 6$ by $3$ and simplify.

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Step 4.2.1

Divide each term in $3 x = - 6$ by $3$ .

$\frac{3 x}{3} = \frac{- 6}{3}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $3$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 6}{3}$

Step 4.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 6}{3}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Divide $- 6$ by $3$ .

$x = - 2$