Algebra Examples

$9 (2 x - 3) = 12 x + 4 + 6 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$12 x + 4 + 6 x = 9 (2 x - 3)$

Step 2

Add $12 x$ and $6 x$ .

$18 x + 4 = 9 (2 x - 3)$

Step 3

Simplify $9 (2 x - 3)$ .

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Step 3.1

Apply the distributive property.

$18 x + 4 = 9 (2 x) + 9 \cdot - 3$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $2$ by $9$ .

$18 x + 4 = 18 x + 9 \cdot - 3$

Step 3.2.2

Multiply $9$ by $- 3$ .

$18 x + 4 = 18 x - 27$

Step 4

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

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Step 4.1

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

$18 x + 4 - 18 x = - 27$

Step 4.2

Combine the opposite terms in $18 x + 4 - 18 x$ .

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Step 4.2.1

Subtract $18 x$ from $18 x$ .

$0 + 4 = - 27$

Step 4.2.2

Add $0$ and $4$ .

$4 = - 27$

Step 5

Since $4 \neq - 27$ , there are no solutions.

No solution