Solve for x 7(5x+8)=12-(x+4)

$7 (5 x + 8) = 12 - (x + 4)$

Step 1

Simplify $7 (5 x + 8)$ .

Rewrite.

$0 + 0 + 7 (5 x + 8) = 12 - (x + 4)$

Simplify by adding zeros.

$7 (5 x + 8) = 12 - (x + 4)$

Apply the distributive property.

$7 (5 x) + 7 \cdot 8 = 12 - (x + 4)$

Multiply.

Multiply $5$ by $7$ .

$35 x + 7 \cdot 8 = 12 - (x + 4)$

Multiply $7$ by $8$ .

$35 x + 56 = 12 - (x + 4)$

Step 2

Simplify $12 - (x + 4)$ .

Simplify each term.

Apply the distributive property.

$35 x + 56 = 12 - x - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$35 x + 56 = 12 - x - 4$

Subtract $4$ from $12$ .

$35 x + 56 = - x + 8$

Step 3

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

Add $x$ to both sides of the equation.

$35 x + 56 + x = 8$

Add $35 x$ and $x$ .

$36 x + 56 = 8$

Step 4

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

Subtract $56$ from both sides of the equation.

$36 x = 8 - 56$

Subtract $56$ from $8$ .

$36 x = - 48$

Step 5

Divide each term in $36 x = - 48$ by $36$ and simplify.

Divide each term in $36 x = - 48$ by $36$ .

$\frac{36 x}{36} = \frac{- 48}{36}$

Simplify the left side.

Cancel the common factor of $36$ .

Cancel the common factor.

$\frac{36 x}{36} = \frac{- 48}{36}$

Divide $x$ by $1$ .

$x = \frac{- 48}{36}$

Simplify the right side.

Cancel the common factor of $- 48$ and $36$ .

Factor $12$ out of $- 48$ .

$x = \frac{12 (- 4)}{36}$

Cancel the common factors.

Factor $12$ out of $36$ .

$x = \frac{12 \cdot - 4}{12 \cdot 3}$

Cancel the common factor.

$x = \frac{12 \cdot - 4}{12 \cdot 3}$

Rewrite the expression.

$x = \frac{- 4}{3}$

Move the negative in front of the fraction.

$x = - \frac{4}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{4}{3}$

Decimal Form:

$x = - 1.\overline{3}$

Mixed Number Form:

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

Solve for x 7(5x+8)=12-(x+4)

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