Solve for x 7x-3=4x+6

$7 x - 3 = 4 x + 6$

Step 1

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

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

$7 x - 3 - 4 x = 6$

Subtract $4 x$ from $7 x$ .

$3 x - 3 = 6$

Step 2

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

Add $3$ to both sides of the equation.

$3 x = 6 + 3$

Add $6$ and $3$ .

$3 x = 9$

Step 3

Divide each term in $3 x = 9$ by $3$ and simplify.

Divide each term in $3 x = 9$ by $3$ .

$\frac{3 x}{3} = \frac{9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{9}{3}$

Divide $x$ by $1$ .

$x = \frac{9}{3}$

Simplify the right side.

Divide $9$ by $3$ .

$x = 3$