Solve for x 10x=10-5(x-7)

$10 x = 10 - 5 (x - 7)$

Step 1

Simplify $10 - 5 (x - 7)$ .

Simplify each term.

Apply the distributive property.

$10 x = 10 - 5 x - 5 \cdot - 7$

Multiply $- 5$ by $- 7$ .

$10 x = 10 - 5 x + 35$

Add $10$ and $35$ .

$10 x = - 5 x + 45$

Step 2

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

Add $5 x$ to both sides of the equation.

$10 x + 5 x = 45$

Add $10 x$ and $5 x$ .

$15 x = 45$

Step 3

Divide each term in $15 x = 45$ by $15$ and simplify.

Divide each term in $15 x = 45$ by $15$ .

$\frac{15 x}{15} = \frac{45}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{45}{15}$

Divide $x$ by $1$ .

$x = \frac{45}{15}$

Simplify the right side.

Divide $45$ by $15$ .

$x = 3$