Algebra Examples

$(x - 4) - (x + 7) = 8 x$

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$x - 4 - x - 1 \cdot 7 = 8 x$

Step 1.1.2

Multiply $- 1$ by $7$ .

$x - 4 - x - 7 = 8 x$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in $x - 4 - x - 7$ .

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Step 1.2.1.1

Subtract $x$ from $x$ .

$0 - 4 - 7 = 8 x$

Step 1.2.1.2

Subtract $4$ from $0$ .

$- 4 - 7 = 8 x$

Step 1.2.2

Subtract $7$ from $- 4$ .

$- 11 = 8 x$

Step 2

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$8 x = - 11$

Step 3

Divide each term in $8 x = - 11$ by $8$ and simplify.

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Step 3.1

Divide each term in $8 x = - 11$ by $8$ .

$\frac{8 x}{8} = \frac{- 11}{8}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $8$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{8 x}{8} = \frac{- 11}{8}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 11}{8}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = - \frac{11}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{8}$

Decimal Form:

$x = - 1.375$

Mixed Number Form:

$x = - 1 \frac{3}{8}$