Finite Math Examples

$3 (6 x - 1) = 9 + 18 x$

Step 1

Simplify $3 (6 x - 1)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (6 x - 1) = 9 + 18 x$

Step 1.2

Simplify by adding zeros.

$3 (6 x - 1) = 9 + 18 x$

Step 1.3

Apply the distributive property.

$3 (6 x) + 3 \cdot - 1 = 9 + 18 x$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $6$ by $3$ .

$18 x + 3 \cdot - 1 = 9 + 18 x$

Step 1.4.2

Multiply $3$ by $- 1$ .

$18 x - 3 = 9 + 18 x$

Step 2

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

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Step 2.1

Subtract $18 x$ from both sides of the equation.

$18 x - 3 - 18 x = 9$

Step 2.2

Combine the opposite terms in $18 x - 3 - 18 x$ .

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Step 2.2.1

Subtract $18 x$ from $18 x$ .

$0 - 3 = 9$

Step 2.2.2

Subtract $3$ from $0$ .

$- 3 = 9$

Step 3

Since $- 3 \neq 9$ , there are no solutions.

No solution