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

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

x = 20


You have 2 free calculationss remaining



What is the Answer?
x = 20
How does the Equation and Inequalities Calculator work?
Free Equation and Inequalities Calculator - Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences and it will solve one step problems and two step equations. 2 step equations and one step equations and multi step equations
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What 3 formulas are used for the Equation and Inequalities Calculator?

One Step Equations (Division): cx = b x = b/c
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Equation and Inequalities Calculator?

equation
a statement declaring two mathematical expressions are equal
equation and inequalities
unknown
a number or value we do not know
variable
Alphabetic character representing a number
Example calculations for the Equation and Inequalities Calculator
  1. 2x=6
  2. 9w - 12<=20
  3. -y + 2 + 10y - 9 -6 >= -3 + 4y + 40 - 8y
  4. 2x - 9(x - 4) = 10
  5. |x|=-2
  6. |-4y|=-8
  7. x^2=25
  8. 2y^2=50
  9. 2y^2-3=53
  10. 2sqrt(4x)=20
  11. |2x+4|=30
  12. |x/2|<10
  13. |2x+6|-7=40
  14. (4x+10)^2=400

Equation and Inequalities Calculator Video


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