Solve for x -2(5x+8)=14+6x

$- 2 (5 x + 8) = 14 + 6 x$

Simplify $- 2 (5 x + 8)$ .

Rewrite.

$0 + 0 - 2 (5 x + 8) = 14 + 6 x$

Simplify by adding zeros.

$- 2 (5 x + 8) = 14 + 6 x$

Apply the distributive property.

$- 2 (5 x) - 2 \cdot 8 = 14 + 6 x$

Multiply.

Multiply $5$ by $- 2$ .

$- 10 x - 2 \cdot 8 = 14 + 6 x$

Multiply $- 2$ by $8$ .

$- 10 x - 16 = 14 + 6 x$

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

Subtract $6 x$ from both sides of the equation.

$- 10 x - 16 - 6 x = 14$

Subtract $6 x$ from $- 10 x$ .

$- 16 x - 16 = 14$

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

Add $16$ to both sides of the equation.

$- 16 x = 14 + 16$

Add $14$ and $16$ .

$- 16 x = 30$

Divide each term in $- 16 x = 30$ by $- 16$ and simplify.

Divide each term in $- 16 x = 30$ by $- 16$ .

$\frac{- 16 x}{- 16} = \frac{30}{- 16}$

Simplify the left side.

Cancel the common factor of $- 16$ .

Cancel the common factor.

$\frac{- 16 x}{- 16} = \frac{30}{- 16}$

Divide $x$ by $1$ .

$x = \frac{30}{- 16}$

Simplify the right side.

Cancel the common factor of $30$ and $- 16$ .

Factor $2$ out of $30$ .

$x = \frac{2 (15)}{- 16}$

Cancel the common factors.

Factor $2$ out of $- 16$ .

$x = \frac{2 \cdot 15}{2 \cdot - 8}$

Cancel the common factor.

$x = \frac{2 \cdot 15}{2 \cdot - 8}$

Rewrite the expression.

$x = \frac{15}{- 8}$

Move the negative in front of the fraction.

$x = - \frac{15}{8}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{15}{8}$

Decimal Form:

$x = - 1.875$

Mixed Number Form:

$x = - 1 \frac{7}{8}$

Solve for x -2(5x+8)=14+6x

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