Enter Equation or Inequality
  

Solve the following equation

8(n-2)=3(n+3)

Solve for n

8(n - 2) = 3(n + 3)

Simplify by removing parentheses
Simplify 8(n - 2):
Distribute the 8 to each term in (n-2)
8 * n = (8 * 1)n = 8n
8 * -2 = (8 * -2) = -16
Our Total expanded term is 8n-16

Simplify 3(n + 3):
Distribute the 3 to each term in (n+3)
3 * n = (3 * 1)n = 3n
3 * 3 = (3 * 3) = 9
Our Total expanded term is 3n + 9

Our new term is
8n - 16 = 3n + 9

Simplify by removing parentheses
Our new term is
8n - 16 = 3n + 9

Group variables

Group our variables 8n and 3n
subtract 3n from both sides

8n - 16 - 3n = 3n + 9 - 3n

Cancel 3n on the right side:

5n - 16 = 9

Group constants

Group our constants -16 and 9.
add 16 to both sides

5n - 16 + 16 = 9 + 16

Cancel 16 on the left side:

5n = 25

Divide each side of the equation by 5

5n
5
=
  
25
5

n = 5

Final Answer

n = 5


You have 2 free calculationss remaining



What is the Answer?
n = 5
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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