Solve for x 3/8-x=2/3

$\frac{3}{8} - x = \frac{2}{3}$

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

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Subtract $\frac{3}{8}$ from both sides of the equation.

$- x = \frac{2}{3} - \frac{3}{8}$

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- x = \frac{2}{3} \cdot \frac{8}{8} - \frac{3}{8}$

To write $- \frac{3}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- x = \frac{2}{3} \cdot \frac{8}{8} - \frac{3}{8} \cdot \frac{3}{3}$

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{2}{3}$ and $\frac{8}{8}$ .

$- x = \frac{2 \cdot 8}{3 \cdot 8} - \frac{3}{8} \cdot \frac{3}{3}$

Multiply $3$ by $8$ .

$- x = \frac{2 \cdot 8}{24} - \frac{3}{8} \cdot \frac{3}{3}$

Multiply $\frac{3}{8}$ and $\frac{3}{3}$ .

$- x = \frac{2 \cdot 8}{24} - \frac{3 \cdot 3}{8 \cdot 3}$

Multiply $8$ by $3$ .

$- x = \frac{2 \cdot 8}{24} - \frac{3 \cdot 3}{24}$

Combine the numerators over the common denominator.

$- x = \frac{2 \cdot 8 - 3 \cdot 3}{24}$

Simplify the numerator.

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Multiply $2$ by $8$ .

$- x = \frac{16 - 3 \cdot 3}{24}$

Multiply $- 3$ by $3$ .

$- x = \frac{16 - 9}{24}$

Subtract $9$ from $16$ .

$- x = \frac{7}{24}$

Multiply each term in $- x = \frac{7}{24}$ by $- 1$

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Multiply each term in $- x = \frac{7}{24}$ by $- 1$ .

$(- x) \cdot - 1 = \frac{7}{24} \cdot - 1$

Multiply $(- x) \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$1 x = \frac{7}{24} \cdot - 1$

Multiply $x$ by $1$ .

$x = \frac{7}{24} \cdot - 1$

Simplify $\frac{7}{24} \cdot - 1$ .

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Multiply $\frac{7}{24} \cdot - 1$ .

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Combine $\frac{7}{24}$ and $- 1$ .

$x = \frac{7 \cdot - 1}{24}$

Multiply $7$ by $- 1$ .

$x = \frac{- 7}{24}$

Move the negative in front of the fraction.

$x = - \frac{7}{24}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{7}{24}$

Decimal Form:

$x = - 0.291\overline{6}$

Solve for x 3/8-x=2/3

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