Solve the following equation
2c+2+2c+c=42
Solve for c
2c + 2 + 2c + c = 42
Group the c terms on the left:
(2 + 2 + 1)c = 5c
Form modified equation
5c + 2 = + 42
Divide each side by 2
| 2c | |
| 2 |
| = |
| 2 |
| 2 |
Group constants
Group our constants 2 and 42.
subtract 2 from both sides
5c + 2 - 2 = 42 - 2
Cancel 2 on the left side:
5c = 40
Divide each side of the equation by 5
| 5c | |
| 5 |
| = |
| 40 |
| 5 |
c = 8
Final Answer
c = 8
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?
c = 8
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
