Solve for x 6(3x-5)-7x=25

$6 (3 x - 5) - 7 x = 25$

Step 1

Simplify $6 (3 x - 5) - 7 x$ .

Simplify each term.

Apply the distributive property.

$6 (3 x) + 6 \cdot - 5 - 7 x = 25$

Multiply $3$ by $6$ .

$18 x + 6 \cdot - 5 - 7 x = 25$

Multiply $6$ by $- 5$ .

$18 x - 30 - 7 x = 25$

Subtract $7 x$ from $18 x$ .

$11 x - 30 = 25$

Step 2

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

Add $30$ to both sides of the equation.

$11 x = 25 + 30$

Add $25$ and $30$ .

$11 x = 55$

Step 3

Divide each term in $11 x = 55$ by $11$ and simplify.

Divide each term in $11 x = 55$ by $11$ .

$\frac{11 x}{11} = \frac{55}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 x}{11} = \frac{55}{11}$

Divide $x$ by $1$ .

$x = \frac{55}{11}$

Simplify the right side.

Divide $55$ by $11$ .

$x = 5$