Pre-Algebra Examples

$5 - 3 (1 - x) = 4$

Step 1

Simplify $5 - 3 (1 - x)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 - 3 \cdot 1 - 3 (- x) = 4$

Step 1.1.2

Multiply $- 3$ by $1$ .

$5 - 3 - 3 (- x) = 4$

Step 1.1.3

Multiply $- 1$ by $- 3$ .

$5 - 3 + 3 x = 4$

Step 1.2

Subtract $3$ from $5$ .

$2 + 3 x = 4$

Step 2

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

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Step 2.1

Subtract $2$ from both sides of the equation.

$3 x = 4 - 2$

Step 2.2

Subtract $2$ from $4$ .

$3 x = 2$

Step 3

Divide each term in $3 x = 2$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 x = 2$ by $3$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $x$ by $1$ .

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.\overline{6}$