Precalculus Examples

$x - 3 (2 x + 3) = 8 - 5 x$

Step 1

Simplify $x - 3 (2 x + 3)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$x - 3 (2 x) - 3 \cdot 3 = 8 - 5 x$

Step 1.1.2

Multiply $2$ by $- 3$ .

$x - 6 x - 3 \cdot 3 = 8 - 5 x$

Step 1.1.3

Multiply $- 3$ by $3$ .

$x - 6 x - 9 = 8 - 5 x$

Step 1.2

Subtract $6 x$ from $x$ .

$- 5 x - 9 = 8 - 5 x$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Add $5 x$ to both sides of the equation.

$- 5 x - 9 + 5 x = 8$

Step 2.2

Combine the opposite terms in $- 5 x - 9 + 5 x$ .

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Step 2.2.1

Add $- 5 x$ and $5 x$ .

$0 - 9 = 8$

Step 2.2.2

Subtract $9$ from $0$ .

$- 9 = 8$

Step 3

Since $- 9 \neq 8$ , there are no solutions.

No solution