Algebra Examples

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

Step 1

Simplify $4 x - 2 (3 x - 2)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $3$ by $- 2$ .

$4 x - 6 x - 2 \cdot - 2 = 3 x$

Step 1.1.3

Multiply $- 2$ by $- 2$ .

$4 x - 6 x + 4 = 3 x$

Step 1.2

Subtract $6 x$ from $4 x$ .

$- 2 x + 4 = 3 x$

Step 2

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

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Step 2.1

Subtract $3 x$ from both sides of the equation.

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

Step 2.2

Subtract $3 x$ from $- 2 x$ .

$- 5 x + 4 = 0$

Step 3

Subtract $4$ from both sides of the equation.

$- 5 x = - 4$

Step 4

Divide each term in $- 5 x = - 4$ by $- 5$ and simplify.

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Step 4.1

Divide each term in $- 5 x = - 4$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 4}{- 5}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 5$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 4}{- 5}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 4}{- 5}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Dividing two negative values results in a positive value.

$x = \frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{4}{5}$

Decimal Form:

$x = 0.8$