Solve the following equation
8(n-2)=3(n+3)
Solve for n
8(n - 2) = 3(n + 3)
Simplify by removing parenthesesSimplify 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
Divide each side by 8
| 8n | |
| 8 |
| = |
| -16 |
| 8 |
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
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 = 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
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
