Solve for x 3(x+7)=5x-7

$3 (x + 7) = 5 x - 7$

Step 1

Simplify $3 (x + 7)$ .

Rewrite.

$0 + 0 + 3 (x + 7) = 5 x - 7$

Simplify by adding zeros.

$3 (x + 7) = 5 x - 7$

Apply the distributive property.

$3 x + 3 \cdot 7 = 5 x - 7$

Multiply $3$ by $7$ .

$3 x + 21 = 5 x - 7$

Step 2

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

Subtract $5 x$ from both sides of the equation.

$3 x + 21 - 5 x = - 7$

Subtract $5 x$ from $3 x$ .

$- 2 x + 21 = - 7$

Step 3

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

Subtract $21$ from both sides of the equation.

$- 2 x = - 7 - 21$

Subtract $21$ from $- 7$ .

$- 2 x = - 28$

Step 4

Divide each term in $- 2 x = - 28$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 28$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 28}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 28}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 28}{- 2}$

Simplify the right side.

Divide $- 28$ by $- 2$ .

$x = 14$