Algebra Examples

$- 4 (6 x - 7) = 4 x$

Step 1

Simplify $- 4 (6 x - 7)$ .

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Step 1.1

Rewrite.

$0 + 0 - 4 (6 x - 7) = 4 x$

Step 1.2

Simplify by adding zeros.

$- 4 (6 x - 7) = 4 x$

Step 1.3

Apply the distributive property.

$- 4 (6 x) - 4 \cdot - 7 = 4 x$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $6$ by $- 4$ .

$- 24 x - 4 \cdot - 7 = 4 x$

Step 1.4.2

Multiply $- 4$ by $- 7$ .

$- 24 x + 28 = 4 x$

Step 2

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

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Step 2.1

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

$- 24 x + 28 - 4 x = 0$

Step 2.2

Subtract $4 x$ from $- 24 x$ .

$- 28 x + 28 = 0$

Step 3

Subtract $28$ from both sides of the equation.

$- 28 x = - 28$

Step 4

Divide each term in $- 28 x = - 28$ by $- 28$ and simplify.

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Step 4.1

Divide each term in $- 28 x = - 28$ by $- 28$ .

$\frac{- 28 x}{- 28} = \frac{- 28}{- 28}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 28$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 28 x}{- 28} = \frac{- 28}{- 28}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 28}{- 28}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 28$ by $- 28$ .

$x = 1$