Solve for x 6(2x+7)-13=21-9(x+1)

$6 (2 x + 7) - 13 = 21 - 9 (x + 1)$

Simplify $6 (2 x + 7) - 13$ .

Simplify each term.

Apply the distributive property.

$6 (2 x) + 6 \cdot 7 - 13 = 21 - 9 (x + 1)$

Multiply $2$ by $6$ .

$12 x + 6 \cdot 7 - 13 = 21 - 9 (x + 1)$

Multiply $6$ by $7$ .

$12 x + 42 - 13 = 21 - 9 (x + 1)$

Subtract $13$ from $42$ .

$12 x + 29 = 21 - 9 (x + 1)$

Simplify $21 - 9 (x + 1)$ .

Simplify each term.

Apply the distributive property.

$12 x + 29 = 21 - 9 x - 9 \cdot 1$

Multiply $- 9$ by $1$ .

$12 x + 29 = 21 - 9 x - 9$

Subtract $9$ from $21$ .

$12 x + 29 = - 9 x + 12$

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

Add $9 x$ to both sides of the equation.

$12 x + 29 + 9 x = 12$

Add $12 x$ and $9 x$ .

$21 x + 29 = 12$

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

Subtract $29$ from both sides of the equation.

$21 x = 12 - 29$

Subtract $29$ from $12$ .

$21 x = - 17$

Divide each term in $21 x = - 17$ by $21$ and simplify.

Divide each term in $21 x = - 17$ by $21$ .

$\frac{21 x}{21} = \frac{- 17}{21}$

Simplify the left side.

Cancel the common factor of $21$ .

Cancel the common factor.

$\frac{21 x}{21} = \frac{- 17}{21}$

Divide $x$ by $1$ .

$x = \frac{- 17}{21}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{17}{21}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{17}{21}$

Decimal Form:

$x = - 0.\overline{809523}$

Solve for x 6(2x+7)-13=21-9(x+1)

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