Solve for x (2x-10)/4=3x

$\frac{2 x - 10}{4} = 3 x$

Cancel the common factor of $2 x - 10$ and $4$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) - 10}{4} = 3 x$

Factor $2$ out of $- 10$ .

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

Factor $2$ out of $2 x + 2 \cdot - 5$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{x - 5}{2} = 3 x$

Multiply both sides by $2$ .

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

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$x - 5 = 3 x \cdot 2$

Simplify the right side.

Multiply $2$ by $3$ .

$x - 5 = 6 x$

Solve for $x$ .

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

Subtract $6 x$ from both sides of the equation.

$x - 5 - 6 x = 0$

Subtract $6 x$ from $x$ .

$- 5 x - 5 = 0$

Add $5$ to both sides of the equation.

$- 5 x = 5$

Divide each term in $- 5 x = 5$ by $- 5$ and simplify.

Divide each term in $- 5 x = 5$ by $- 5$ .

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

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $5$ by $- 5$ .

$x = - 1$

Solve for x (2x-10)/4=3x

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