5(n-1)+3=5008

Enter Equation or Inequality


  

Solve the following equation
5(n-1)+3=5008

Solve for n
5(n - 1) + 3 = 5008

Simplify by removing parentheses
Simplify 5(n - 1):
Distribute the 5 to each term in (n-1)
5 * n = (5 * 1)n = 5n
5 * -1 = (5 * -1) = -5
Our Total expanded term is 5n-5

Our new term is
5n - 5 + 3 = 5008

Simplify by removing parentheses
Our new term is
5n - 5 + 3 = 5008

Group the constants on the left

-5 + 3 = -2

Form modified equation

5n - 2 = + 5008

Group constants

Group our constants -2 and 5008.
add 2 to both sides
5n - 2 + 2 = 5008 + 2

Cancel 2 on the left side:

5n = 5010

Divide each side of the equation by 5

5n
5
=
  
5010
5

n = 1002








What is the Answer?

n = 1002

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
This calculator has 1 input.

What 3 formulas are used for the Equation and Inequalities Calculator?

  1. One Step Equations (Division): cx = b x = b/c
  2. One Step Equations (Addition): x + c = b x = b - c
  3. 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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