Pre-Algebra Examples

$(x - 4^{2}) + 3 (x - 4) - 18 = 0$

Step 1

Simplify $(x - 4^{2}) + 3 (x - 4) - 18$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Raise $4$ to the power of $2$ .

$x - 1 \cdot 16 + 3 (x - 4) - 18 = 0$

Step 1.1.2

Multiply $- 1$ by $16$ .

$x - 16 + 3 (x - 4) - 18 = 0$

Step 1.1.3

Apply the distributive property.

$x - 16 + 3 x + 3 \cdot - 4 - 18 = 0$

Step 1.1.4

Multiply $3$ by $- 4$ .

$x - 16 + 3 x - 12 - 18 = 0$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $x$ and $3 x$ .

$4 x - 16 - 12 - 18 = 0$

Step 1.2.2

Simplify by subtracting numbers.

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Step 1.2.2.1

Subtract $12$ from $- 16$ .

$4 x - 28 - 18 = 0$

Step 1.2.2.2

Subtract $18$ from $- 28$ .

$4 x - 46 = 0$

Step 2

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

$x = \frac{23}{2}$

Step 3