Solve for x 3x-7-7(x+1)=-(6x+3)

$3 x - 7 - 7 (x + 1) = - (6 x + 3)$

Step 1

Simplify $3 x - 7 - 7 (x + 1)$ .

Simplify each term.

Apply the distributive property.

$3 x - 7 - 7 x - 7 \cdot 1 = - (6 x + 3)$

Multiply $- 7$ by $1$ .

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

Simplify by adding terms.

Subtract $7 x$ from $3 x$ .

$- 4 x - 7 - 7 = - (6 x + 3)$

Subtract $7$ from $- 7$ .

$- 4 x - 14 = - (6 x + 3)$

Step 2

Simplify $- (6 x + 3)$ .

Apply the distributive property.

$- 4 x - 14 = - (6 x) - 1 \cdot 3$

Multiply.

Multiply $6$ by $- 1$ .

$- 4 x - 14 = - 6 x - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$- 4 x - 14 = - 6 x - 3$

Step 3

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

Add $6 x$ to both sides of the equation.

$- 4 x - 14 + 6 x = - 3$

Add $- 4 x$ and $6 x$ .

$2 x - 14 = - 3$

Step 4

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

Add $14$ to both sides of the equation.

$2 x = - 3 + 14$

Add $- 3$ and $14$ .

$2 x = 11$

Step 5

Divide each term in $2 x = 11$ by $2$ and simplify.

Divide each term in $2 x = 11$ by $2$ .

$\frac{2 x}{2} = \frac{11}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{11}{2}$

Divide $x$ by $1$ .

$x = \frac{11}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{11}{2}$

Decimal Form:

$x = 5.5$

Mixed Number Form:

$x = 5 \frac{1}{2}$

Solve for x 3x-7-7(x+1)=-(6x+3)

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