Finite Math Examples

$5 - 9 (x + 3) - 5 = 5 + 3 (9 - 3 x) - 18$

Step 1

Simplify $5 - 9 (x + 3) - 5$ .

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Step 1.1

Combine the opposite terms in $5 - 9 (x + 3) - 5$ .

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Step 1.1.1

Subtract $5$ from $5$ .

$0 - 9 (x + 3) = 5 + 3 (9 - 3 x) - 18$

Step 1.1.2

Subtract $9 (x + 3)$ from $0$ .

$- 9 (x + 3) = 5 + 3 (9 - 3 x) - 18$

Step 1.2

Apply the distributive property.

$- 9 x - 9 \cdot 3 = 5 + 3 (9 - 3 x) - 18$

Step 1.3

Multiply $- 9$ by $3$ .

$- 9 x - 27 = 5 + 3 (9 - 3 x) - 18$

Step 2

Simplify $5 + 3 (9 - 3 x) - 18$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 9 x - 27 = 5 + 3 \cdot 9 + 3 (- 3 x) - 18$

Step 2.1.2

Multiply $3$ by $9$ .

$- 9 x - 27 = 5 + 27 + 3 (- 3 x) - 18$

Step 2.1.3

Multiply $- 3$ by $3$ .

$- 9 x - 27 = 5 + 27 - 9 x - 18$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Add $5$ and $27$ .

$- 9 x - 27 = 32 - 9 x - 18$

Step 2.2.2

Subtract $18$ from $32$ .

$- 9 x - 27 = - 9 x + 14$

Step 3

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

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Step 3.1

Add $9 x$ to both sides of the equation.

$- 9 x - 27 + 9 x = 14$

Step 3.2

Combine the opposite terms in $- 9 x - 27 + 9 x$ .

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Step 3.2.1

Add $- 9 x$ and $9 x$ .

$0 - 27 = 14$

Step 3.2.2

Subtract $27$ from $0$ .

$- 27 = 14$

Step 4

Since $- 27 \neq 14$ , there are no solutions.

No solution