Solve for x 3(x-1)-7=15

$3 (x - 1) - 7 = 15$

Step 1

Simplify $3 (x - 1) - 7$ .

Simplify each term.

Apply the distributive property.

$3 x + 3 \cdot - 1 - 7 = 15$

Multiply $3$ by $- 1$ .

$3 x - 3 - 7 = 15$

Subtract $7$ from $- 3$ .

$3 x - 10 = 15$

Step 2

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

Add $10$ to both sides of the equation.

$3 x = 15 + 10$

Add $15$ and $10$ .

$3 x = 25$

Step 3

Divide each term in $3 x = 25$ by $3$ and simplify.

Divide each term in $3 x = 25$ by $3$ .

$\frac{3 x}{3} = \frac{25}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{25}{3}$

Divide $x$ by $1$ .

$x = \frac{25}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{25}{3}$

Decimal Form:

$x = 8.\overline{3}$

Mixed Number Form:

$x = 8 \frac{1}{3}$