Pre-Algebra Examples

$3 (9 - 8 x - 4 x) + 8 (3 x + 4) = 11$

Step 1

Simplify $3 (9 - 8 x - 4 x) + 8 (3 x + 4)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Subtract $4 x$ from $- 8 x$ .

$3 (9 - 12 x) + 8 (3 x + 4) = 11$

Step 1.1.2

Apply the distributive property.

$3 \cdot 9 + 3 (- 12 x) + 8 (3 x + 4) = 11$

Step 1.1.3

Multiply $3$ by $9$ .

$27 + 3 (- 12 x) + 8 (3 x + 4) = 11$

Step 1.1.4

Multiply $- 12$ by $3$ .

$27 - 36 x + 8 (3 x + 4) = 11$

Step 1.1.5

Apply the distributive property.

$27 - 36 x + 8 (3 x) + 8 \cdot 4 = 11$

Step 1.1.6

Multiply $3$ by $8$ .

$27 - 36 x + 24 x + 8 \cdot 4 = 11$

Step 1.1.7

Multiply $8$ by $4$ .

$27 - 36 x + 24 x + 32 = 11$

$27 - 36 x + 24 x + 32 = 11$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $27$ and $32$ .

$- 36 x + 24 x + 59 = 11$

Step 1.2.2

Add $- 36 x$ and $24 x$ .

$- 12 x + 59 = 11$

$- 12 x + 59 = 11$

$- 12 x + 59 = 11$

Step 2

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

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Step 2.1

Subtract $59$ from both sides of the equation.

$- 12 x = 11 - 59$

Step 2.2

Subtract $59$ from $11$ .

$- 12 x = - 48$

$- 12 x = - 48$

Step 3

Divide each term in $- 12 x = - 48$ by $- 12$ and simplify.

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Step 3.1

Divide each term in $- 12 x = - 48$ by $- 12$ .

$\frac{- 12 x}{- 12} = \frac{- 48}{- 12}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 12$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 12 x}{- 12} = \frac{- 48}{- 12}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 48}{- 12}$

$x = \frac{- 48}{- 12}$

$x = \frac{- 48}{- 12}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 48$ by $- 12$ .

$x = 4$

$x = 4$

$x = 4$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$