Pre-Algebra Examples

$8 x - (4 x - 1) = 2$

Step 1

Simplify $8 x - (4 x - 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$8 x - (4 x) - - 1 = 2$

Step 1.1.2

Multiply $4$ by $- 1$ .

$8 x - 4 x - - 1 = 2$

Step 1.1.3

Multiply $- 1$ by $- 1$ .

$8 x - 4 x + 1 = 2$

Step 1.2

Subtract $4 x$ from $8 x$ .

$4 x + 1 = 2$

Step 2

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

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Step 2.1

Subtract $1$ from both sides of the equation.

$4 x = 2 - 1$

Step 2.2

Subtract $1$ from $2$ .

$4 x = 1$

Step 3

Divide each term in $4 x = 1$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 x = 1$ by $4$ .

$\frac{4 x}{4} = \frac{1}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{1}{4}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{4}$

Decimal Form:

$x = 0.25$