9(x-4)=6(x+4)

Enter Equation or Inequality

Solve the following equation

9(x-4)=6(x+4)

Solve for x

9(x - 4) = 6(x + 4)

Simplify by removing parentheses
Simplify 9(x - 4):
Distribute the 9 to each term in (x-4)
9 * x = (9 * 1)x = 9x
9 * -4 = (9 * -4) = -36
Our Total expanded term is 9x-36

Simplify 6(x + 4):
Distribute the 6 to each term in (x+4)
6 * x = (6 * 1)x = 6x
6 * 4 = (6 * 4) = 24
Our Total expanded term is 6x + 24

Our new term is
9x - 36 = 6x + 24

Simplify by removing parentheses
Our new term is
9x - 36 = 6x + 24

Group variables

Group our variables 9x and 6x
subtract 6x from both sides

9x - 36 - 6x = 6x + 24 - 6x

Cancel 6x on the right side:

3x - 36 = 24

Divide each side by 9

9x
9

=

-36

9

Group constants

Group our constants -36 and 24.
add 36 to both sides

3x - 36 + 36 = 24 + 36

Cancel 36 on the left side:

3x = 60

Divide each side of the equation by 3

3x
3

=

60

3

x = 20

Final Answer