Solve for x (2(5-x))/3=7x

$\frac{2 (5 - x)}{3} = 7 x$

Multiply both sides by $3$ .

$\frac{2 (5 - x)}{3} \cdot 3 = 7 x \cdot 3$

Simplify.

Simplify the left side.

Simplify $\frac{2 (5 - x)}{3} \cdot 3$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{2 (5 - x)}{3} \cdot 3 = 7 x \cdot 3$

Rewrite the expression.

$2 (5 - x) = 7 x \cdot 3$

Apply the distributive property.

$2 \cdot 5 + 2 (- x) = 7 x \cdot 3$

Simplify the expression.

Multiply $2$ by $5$ .

$10 + 2 (- x) = 7 x \cdot 3$

Multiply $- 1$ by $2$ .

$10 - 2 x = 7 x \cdot 3$

Reorder $10$ and $- 2 x$ .

$- 2 x + 10 = 7 x \cdot 3$

Simplify the right side.

Multiply $3$ by $7$ .

$- 2 x + 10 = 21 x$

Solve for $x$ .

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

Subtract $21 x$ from both sides of the equation.

$- 2 x + 10 - 21 x = 0$

Subtract $21 x$ from $- 2 x$ .

$- 23 x + 10 = 0$

Subtract $10$ from both sides of the equation.

$- 23 x = - 10$

Divide each term in $- 23 x = - 10$ by $- 23$ and simplify.

Divide each term in $- 23 x = - 10$ by $- 23$ .

$\frac{- 23 x}{- 23} = \frac{- 10}{- 23}$

Simplify the left side.

Cancel the common factor of $- 23$ .

Cancel the common factor.

$\frac{- 23 x}{- 23} = \frac{- 10}{- 23}$

Divide $x$ by $1$ .

$x = \frac{- 10}{- 23}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{10}{23}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10}{23}$

Decimal Form:

$x = 0.43478260 \dots$

Solve for x (2(5-x))/3=7x

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