Precalculus Examples

$3 (3 x + 1) - 8 x = 8$

Step 1

Simplify $3 (3 x + 1) - 8 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 (3 x) + 3 \cdot 1 - 8 x = 8$

Step 1.1.2

Multiply $3$ by $3$ .

$9 x + 3 \cdot 1 - 8 x = 8$

Step 1.1.3

Multiply $3$ by $1$ .

$9 x + 3 - 8 x = 8$

Step 1.2

Subtract $8 x$ from $9 x$ .

$x + 3 = 8$

Step 2

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

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Step 2.1

Subtract $3$ from both sides of the equation.

$x = 8 - 3$

Step 2.2

Subtract $3$ from $8$ .

$x = 5$