Algebra Examples

$4 (x + 6) - x = 6 (x - 111) - 2 x + 305$

Step 1

Simplify $4 (x + 6) - x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 x + 4 \cdot 6 - x = 6 (x - 111) - 2 x + 305$

Step 1.1.2

Multiply $4$ by $6$ .

$4 x + 24 - x = 6 (x - 111) - 2 x + 305$

Step 1.2

Subtract $x$ from $4 x$ .

$3 x + 24 = 6 (x - 111) - 2 x + 305$

Step 2

Simplify $6 (x - 111) - 2 x + 305$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$3 x + 24 = 6 x + 6 \cdot - 111 - 2 x + 305$

Step 2.1.2

Multiply $6$ by $- 111$ .

$3 x + 24 = 6 x - 666 - 2 x + 305$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Subtract $2 x$ from $6 x$ .

$3 x + 24 = 4 x - 666 + 305$

Step 2.2.2

Add $- 666$ and $305$ .

$3 x + 24 = 4 x - 361$

Step 3

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

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Step 3.1

Subtract $4 x$ from both sides of the equation.

$3 x + 24 - 4 x = - 361$

Step 3.2

Subtract $4 x$ from $3 x$ .

$- x + 24 = - 361$

Step 4

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

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Step 4.1

Subtract $24$ from both sides of the equation.

$- x = - 361 - 24$

Step 4.2

Subtract $24$ from $- 361$ .

$- x = - 385$

Step 5

Divide each term in $- x = - 385$ by $- 1$ and simplify.

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Step 5.1

Divide each term in $- x = - 385$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 385}{- 1}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 385}{- 1}$

Step 5.2.2

Divide $x$ by $1$ .

$x = \frac{- 385}{- 1}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 385$ by $- 1$ .

$x = 385$