Solve for x 4=-6x-1/2

$4 = - 6 x - \frac{1}{2}$

Rewrite the equation as $- 6 x - \frac{1}{2} = 4$ .

$- 6 x - \frac{1}{2} = 4$

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

Add $\frac{1}{2}$ to both sides of the equation.

$- 6 x = 4 + \frac{1}{2}$

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- 6 x = 4 \cdot \frac{2}{2} + \frac{1}{2}$

Combine $4$ and $\frac{2}{2}$ .

$- 6 x = \frac{4 \cdot 2}{2} + \frac{1}{2}$

Combine the numerators over the common denominator.

$- 6 x = \frac{4 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply $4$ by $2$ .

$- 6 x = \frac{8 + 1}{2}$

Add $8$ and $1$ .

$- 6 x = \frac{9}{2}$

Divide each term in $- 6 x = \frac{9}{2}$ by $- 6$ and simplify.

Divide each term in $- 6 x = \frac{9}{2}$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{\frac{9}{2}}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{\frac{9}{2}}{- 6}$

Divide $x$ by $1$ .

$x = \frac{\frac{9}{2}}{- 6}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{9}{2} \cdot \frac{1}{- 6}$

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$x = \frac{3 (3)}{2} \cdot \frac{1}{- 6}$

Factor $3$ out of $- 6$ .

$x = \frac{3 \cdot 3}{2} \cdot \frac{1}{3 \cdot - 2}$

Cancel the common factor.

$x = \frac{3 \cdot 3}{2} \cdot \frac{1}{3 \cdot - 2}$

Rewrite the expression.

$x = \frac{3}{2} \cdot \frac{1}{- 2}$

Multiply $\frac{3}{2}$ by $\frac{1}{- 2}$ .

$x = \frac{3}{2 \cdot - 2}$

Simplify the expression.

Multiply $2$ by $- 2$ .

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

Move the negative in front of the fraction.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 0.75$

Solve for x 4=-6x-1/2

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