Pre-Algebra Examples

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

Step 1

Simplify $- 4 (4 x - 5) - (- 3 x - 4)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $4$ by $- 4$ .

$- 16 x - 4 \cdot - 5 - (- 3 x - 4) = 5$

Step 1.1.3

Multiply $- 4$ by $- 5$ .

$- 16 x + 20 - (- 3 x - 4) = 5$

Step 1.1.4

Apply the distributive property.

$- 16 x + 20 - (- 3 x) - - 4 = 5$

Step 1.1.5

Multiply $- 3$ by $- 1$ .

$- 16 x + 20 + 3 x - - 4 = 5$

Step 1.1.6

Multiply $- 1$ by $- 4$ .

$- 16 x + 20 + 3 x + 4 = 5$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $- 16 x$ and $3 x$ .

$- 13 x + 20 + 4 = 5$

Step 1.2.2

Add $20$ and $4$ .

$- 13 x + 24 = 5$

Step 2

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

$x \approx 1.46153846$

Step 3