Solve for x 3-8x=8/5x

$3 - 8 x = \frac{8}{5} x$

Simplify $\frac{8}{5} x$ .

Rewrite.

$3 - 8 x = 0 + 0 + \frac{8}{5} x$

Simplify by adding zeros.

$3 - 8 x = \frac{8}{5} x$

Combine $\frac{8}{5}$ and $x$ .

$3 - 8 x = \frac{8 x}{5}$

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

Subtract $\frac{8 x}{5}$ from both sides of the equation.

$3 - 8 x - \frac{8 x}{5} = 0$

To write $- 8 x$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$3 - 8 x \cdot \frac{5}{5} - \frac{8 x}{5} = 0$

Combine $- 8 x$ and $\frac{5}{5}$ .

$3 + \frac{- 8 x \cdot 5}{5} - \frac{8 x}{5} = 0$

Combine the numerators over the common denominator.

$3 + \frac{- 8 x \cdot 5 - 8 x}{5} = 0$

Simplify each term.

Simplify the numerator.

Factor $8 x$ out of $- 8 x \cdot 5 - 8 x$ .

Factor $8 x$ out of $- 8 x \cdot 5$ .

$3 + \frac{8 x (- 1 \cdot 5) - 8 x}{5} = 0$

Factor $8 x$ out of $- 8 x$ .

$3 + \frac{8 x (- 1 \cdot 5) + 8 x (- 1)}{5} = 0$

Factor $8 x$ out of $8 x (- 1 \cdot 5) + 8 x (- 1)$ .

$3 + \frac{8 x (- 1 \cdot 5 - 1)}{5} = 0$

Multiply $- 1$ by $5$ .

$3 + \frac{8 x (- 5 - 1)}{5} = 0$

Subtract $1$ from $- 5$ .

$3 + \frac{8 x \cdot - 6}{5} = 0$

Multiply $- 6$ by $8$ .

$3 + \frac{- 48 x}{5} = 0$

Move the negative in front of the fraction.

$3 - \frac{48 x}{5} = 0$

Subtract $3$ from both sides of the equation.

$- \frac{48 x}{5} = - 3$

Multiply both sides of the equation by $- \frac{5}{48}$ .

$- \frac{5}{48} (- \frac{48 x}{5}) = - \frac{5}{48} \cdot - 3$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{5}{48} (- \frac{48 x}{5})$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{48}$ into the numerator.

$\frac{- 5}{48} (- \frac{48 x}{5}) = - \frac{5}{48} \cdot - 3$

Move the leading negative in $- \frac{48 x}{5}$ into the numerator.

$\frac{- 5}{48} \cdot \frac{- 48 x}{5} = - \frac{5}{48} \cdot - 3$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{48} \cdot \frac{- 48 x}{5} = - \frac{5}{48} \cdot - 3$

Cancel the common factor.

$\frac{5 \cdot - 1}{48} \cdot \frac{- 48 x}{5} = - \frac{5}{48} \cdot - 3$

Rewrite the expression.

$\frac{- 1}{48} (- 48 x) = - \frac{5}{48} \cdot - 3$

Cancel the common factor of $48$ .

Factor $48$ out of $- 48 x$ .

$\frac{- 1}{48} (48 (- x)) = - \frac{5}{48} \cdot - 3$

Cancel the common factor.

$\frac{- 1}{48} (48 (- x)) = - \frac{5}{48} \cdot - 3$

Rewrite the expression.

$- - x = - \frac{5}{48} \cdot - 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{5}{48} \cdot - 3$

Multiply $x$ by $1$ .

$x = - \frac{5}{48} \cdot - 3$

Simplify the right side.

Simplify $- \frac{5}{48} \cdot - 3$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{5}{48}$ into the numerator.

$x = \frac{- 5}{48} \cdot - 3$

Factor $3$ out of $48$ .

$x = \frac{- 5}{3 (16)} \cdot - 3$

Factor $3$ out of $- 3$ .

$x = \frac{- 5}{3 \cdot 16} \cdot (3 \cdot - 1)$

Cancel the common factor.

$x = \frac{- 5}{3 \cdot 16} \cdot (3 \cdot - 1)$

Rewrite the expression.

$x = \frac{- 5}{16} \cdot - 1$

Combine $\frac{- 5}{16}$ and $- 1$ .

$x = \frac{- 5 \cdot - 1}{16}$

Multiply $- 5$ by $- 1$ .

$x = \frac{5}{16}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{16}$

Decimal Form:

$x = 0.3125$

Solve for x 3-8x=8/5x

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