Pre-Algebra Examples

$3 (x + 3 (4 x - 5)) = 15 x - 24$

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 (x + 3 (4 x) + 3 \cdot - 5) = 15 x - 24$

Step 1.1.2

Multiply $4$ by $3$ .

$3 (x + 12 x + 3 \cdot - 5) = 15 x - 24$

Step 1.1.3

Multiply $3$ by $- 5$ .

$3 (x + 12 x - 15) = 15 x - 24$

Step 1.2

Simplify terms.

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Step 1.2.1

Add $x$ and $12 x$ .

$3 (13 x - 15) = 15 x - 24$

Step 1.2.2

Apply the distributive property.

$3 (13 x) + 3 \cdot - 15 = 15 x - 24$

Step 1.2.3

Multiply.

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Step 1.2.3.1

Multiply $13$ by $3$ .

$39 x + 3 \cdot - 15 = 15 x - 24$

Step 1.2.3.2

Multiply $3$ by $- 15$ .

$39 x - 45 = 15 x - 24$

Step 2

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

$x = \frac{7}{8}$

Step 3