Solve for x 10(x-1)-7x=x

$10 (x - 1) - 7 x = x$

Step 1

Simplify $10 (x - 1) - 7 x$ .

Simplify each term.

Apply the distributive property.

$10 x + 10 \cdot - 1 - 7 x = x$

Multiply $10$ by $- 1$ .

$10 x - 10 - 7 x = x$

Subtract $7 x$ from $10 x$ .

$3 x - 10 = x$

Step 2

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

Subtract $x$ from both sides of the equation.

$3 x - 10 - x = 0$

Subtract $x$ from $3 x$ .

$2 x - 10 = 0$

Step 3

Add $10$ to both sides of the equation.

$2 x = 10$

Step 4

Divide each term in $2 x = 10$ by $2$ and simplify.

Divide each term in $2 x = 10$ by $2$ .

$\frac{2 x}{2} = \frac{10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{10}{2}$

Divide $x$ by $1$ .

$x = \frac{10}{2}$

Simplify the right side.

Divide $10$ by $2$ .

$x = 5$