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Solve the following equation

2(n+20)=53

Solve for n

2(n + 20) = 53

Simplify by removing parentheses
Simplify 2(n + 20):
Distribute the 2 to each term in (n+20)
2 * n = (2 * 1)n = 2n
2 * 20 = (2 * 20) = 40
Our Total expanded term is 2n + 40

Our new term is
2n + 40 = 53

Simplify by removing parentheses
Our new term is
2n + 40 = 53

Group constants

Group our constants 40 and 53.
subtract 40 from both sides

2n + 40 - 40 = 53 - 40

Cancel 40 on the left side:

2n = 13

Divide each side of the equation by 2

2n
2
=
  
13
2

n = 6.5

Final Answer

n = 6.5


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Common Core State Standards In This Lesson
6.EE.B.5, 6.EE.B.7, 8.EE.A.2, 8.EE.C.7.B, HSA.CED.A.1, HSA.REI.A.1, HSA.REI.A.2, HSA.REI.B.3, HSA.REI.B.4.B
What is the Answer?
n = 6.5
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
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  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
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