Solve for x 2(-8x+5/3)-4/3=-1

$2 (- 8 x + \frac{5}{3}) - \frac{4}{3} = - 1$

Step 1

Simplify $2 (- 8 x + \frac{5}{3}) - \frac{4}{3}$ .

Simplify each term.

Apply the distributive property.

$2 (- 8 x) + 2 (\frac{5}{3}) - \frac{4}{3} = - 1$

Multiply $- 8$ by $2$ .

$- 16 x + 2 (\frac{5}{3}) - \frac{4}{3} = - 1$

Multiply $2 (\frac{5}{3})$ .

Combine $2$ and $\frac{5}{3}$ .

$- 16 x + \frac{2 \cdot 5}{3} - \frac{4}{3} = - 1$

Multiply $2$ by $5$ .

$- 16 x + \frac{10}{3} - \frac{4}{3} = - 1$

Combine fractions.

Combine the numerators over the common denominator.

$- 16 x + \frac{10 - 4}{3} = - 1$

Simplify the expression.

Subtract $4$ from $10$ .

$- 16 x + \frac{6}{3} = - 1$

Divide $6$ by $3$ .

$- 16 x + 2 = - 1$

Step 2

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

Subtract $2$ from both sides of the equation.

$- 16 x = - 1 - 2$

Subtract $2$ from $- 1$ .

$- 16 x = - 3$

Step 3

Divide each term in $- 16 x = - 3$ by $- 16$ and simplify.

Divide each term in $- 16 x = - 3$ by $- 16$ .

$\frac{- 16 x}{- 16} = \frac{- 3}{- 16}$

Simplify the left side.

Cancel the common factor of $- 16$ .

Cancel the common factor.

$\frac{- 16 x}{- 16} = \frac{- 3}{- 16}$

Divide $x$ by $1$ .

$x = \frac{- 3}{- 16}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{3}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{16}$

Decimal Form:

$x = 0.1875$

Solve for x 2(-8x+5/3)-4/3=-1

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