Solve the following equation
14n+21=4n+141
Solve for n
14n + 21 = 4n + 141
Group variables
Group our variables 14n and 4n
subtract 4n from both sides
14n + 21 - 4n = 4n + 141 - 4n
Cancel 4n on the right side:
10n + 21 = 141
Divide each side by 14
| 14n | |
| 14 |
| = |
| 21 |
| 14 |
Group constants
Group our constants 21 and 141.
subtract 21 from both sides
10n + 21 - 21 = 141 - 21
Cancel 21 on the left side:
10n = 120
Divide each side of the equation by 10
| 10n | |
| 10 |
| = |
| 120 |
| 10 |
n = 12
Final Answer
n = 12
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 = 12
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.
This calculator has 1 input.
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
One Step Equations (Addition): x + c = b x = b - c
One Step Equations (Subtraction): x - c = b x = b + c
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
