Solve for x 3x=7(2/7-3/7x)-10

$3 x = 7 (\frac{2}{7} - \frac{3}{7} x) - 10$

Simplify $7 (\frac{2}{7} - \frac{3}{7} x) - 10$ .

Simplify each term.

Combine $x$ and $\frac{3}{7}$ .

$3 x = 7 (\frac{2}{7} - \frac{x \cdot 3}{7}) - 10$

Move $3$ to the left of $x$ .

$3 x = 7 (\frac{2}{7} - \frac{3 x}{7}) - 10$

Apply the distributive property.

$3 x = 7 (\frac{2}{7}) + 7 (- \frac{3 x}{7}) - 10$

Cancel the common factor of $7$ .

Cancel the common factor.

$3 x = 7 (\frac{2}{7}) + 7 (- \frac{3 x}{7}) - 10$

Rewrite the expression.

$3 x = 2 + 7 (- \frac{3 x}{7}) - 10$

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{3 x}{7}$ into the numerator.

$3 x = 2 + 7 \frac{- 3 x}{7} - 10$

Cancel the common factor.

$3 x = 2 + 7 \frac{- 3 x}{7} - 10$

Rewrite the expression.

$3 x = 2 - 3 x - 10$

Subtract $10$ from $2$ .

$3 x = - 3 x - 8$

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

Add $3 x$ to both sides of the equation.

$3 x + 3 x = - 8$

Add $3 x$ and $3 x$ .

$6 x = - 8$

Divide each term in $6 x = - 8$ by $6$ and simplify.

Divide each term in $6 x = - 8$ by $6$ .

$\frac{6 x}{6} = \frac{- 8}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 8}{6}$

Divide $x$ by $1$ .

$x = \frac{- 8}{6}$

Simplify the right side.

Cancel the common factor of $- 8$ and $6$ .

Factor $2$ out of $- 8$ .

$x = \frac{2 (- 4)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$x = \frac{2 \cdot - 4}{2 \cdot 3}$

Cancel the common factor.

$x = \frac{2 \cdot - 4}{2 \cdot 3}$

Rewrite the expression.

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

Move the negative in front of the fraction.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 1.\overline{3}$

Mixed Number Form:

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

Solve for x 3x=7(2/7-3/7x)-10

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