Evaluate 6x+7y=4x+4y

$6 x + 7 y = 4 x + 4 y$

Step 1

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

Subtract $4 x$ from both sides of the equation.

$6 x + 7 y - 4 x = 4 y$

Subtract $4 x$ from $6 x$ .

$2 x + 7 y = 4 y$

Step 2

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

Subtract $7 y$ from both sides of the equation.

$2 x = 4 y - 7 y$

Subtract $7 y$ from $4 y$ .

$2 x = - 3 y$

Step 3

Divide each term in $2 x = - 3 y$ by $2$ and simplify.

Divide each term in $2 x = - 3 y$ by $2$ .

$\frac{2 x}{2} = \frac{- 3 y}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 3 y}{2}$

Divide $x$ by $1$ .

$x = \frac{- 3 y}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{3 y}{2}$