Pre-Algebra Examples

$3 x + 226 = 7 (x - 6)$

Step 1

Simplify $7 (x - 6)$ .

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Step 1.1

Rewrite.

$3 x + 226 = 0 + 0 + 7 (x - 6)$

Step 1.2

Simplify by adding zeros.

$3 x + 226 = 7 (x - 6)$

Step 1.3

Apply the distributive property.

$3 x + 226 = 7 x + 7 \cdot - 6$

Step 1.4

Multiply $7$ by $- 6$ .

$3 x + 226 = 7 x - 42$

Step 2

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

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Step 2.1

Subtract $7 x$ from both sides of the equation.

$3 x + 226 - 7 x = - 42$

Step 2.2

Subtract $7 x$ from $3 x$ .

$- 4 x + 226 = - 42$

Step 3

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

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Step 3.1

Subtract $226$ from both sides of the equation.

$- 4 x = - 42 - 226$

Step 3.2

Subtract $226$ from $- 42$ .

$- 4 x = - 268$

Step 4

Divide each term in $- 4 x = - 268$ by $- 4$ and simplify.

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Step 4.1

Divide each term in $- 4 x = - 268$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 268}{- 4}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 4$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 268}{- 4}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 268}{- 4}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 268$ by $- 4$ .

$x = 67$