Pre-Algebra Examples

$6 - 4 (5 - 2 x) = 2 (1 - x)$

Step 1

Simplify $6 - 4 (5 - 2 x)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$6 - 4 \cdot 5 - 4 (- 2 x) = 2 (1 - x)$

Step 1.1.2

Multiply $- 4$ by $5$ .

$6 - 20 - 4 (- 2 x) = 2 (1 - x)$

Step 1.1.3

Multiply $- 2$ by $- 4$ .

$6 - 20 + 8 x = 2 (1 - x)$

Step 1.2

Subtract $20$ from $6$ .

$- 14 + 8 x = 2 (1 - x)$

Step 2

Simplify $2 (1 - x)$ .

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Step 2.1

Apply the distributive property.

$- 14 + 8 x = 2 \cdot 1 + 2 (- x)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $2$ by $1$ .

$- 14 + 8 x = 2 + 2 (- x)$

Step 2.2.2

Multiply $- 1$ by $2$ .

$- 14 + 8 x = 2 - 2 x$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = \frac{8}{5}$

Step 4