Algebra Examples

$3 (6 x - 5) = 3 (6 x - 5) + x$

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.

$3 (6 x - 5) + x = 3 (6 x - 5)$

Step 2

Simplify $3 (6 x - 5) + x$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$3 (6 x) + 3 \cdot - 5 + x = 3 (6 x - 5)$

Step 2.1.2

Multiply $6$ by $3$ .

$18 x + 3 \cdot - 5 + x = 3 (6 x - 5)$

Step 2.1.3

Multiply $3$ by $- 5$ .

$18 x - 15 + x = 3 (6 x - 5)$

Step 2.2

Add $18 x$ and $x$ .

$19 x - 15 = 3 (6 x - 5)$

Step 3

Simplify $3 (6 x - 5)$ .

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Step 3.1

Apply the distributive property.

$19 x - 15 = 3 (6 x) + 3 \cdot - 5$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $6$ by $3$ .

$19 x - 15 = 18 x + 3 \cdot - 5$

Step 3.2.2

Multiply $3$ by $- 5$ .

$19 x - 15 = 18 x - 15$

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.

$19 x - 15 - 18 x = - 15$

Step 4.2

Subtract $18 x$ from $19 x$ .

$x - 15 = - 15$

Step 5

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

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Step 5.1

Add $15$ to both sides of the equation.

$x = - 15 + 15$

Step 5.2

Add $- 15$ and $15$ .

$x = 0$