Solve the following equation
21+3m=14+4m
Solve for m
21 + 3m = 14 + 4m
Group variables
Group our variables 3m and 4m
subtract 4m from both sides
3m + 21 - 4m = 4m + 14 - 4m
Cancel 4m on the right side:
-m + 21 = 14
Divide each side by 21
| 21m | |
| 21 |
| = |
| 3 |
| 21 |
Group constants
Group our constants 21 and 14.
subtract 21 from both sides
-m + 21 - 21 = 14 - 21
Cancel 21 on the left side:
-m = -7
Divide each side of the equation by -1
| -1m | |
| -1 |
| = |
| -7 |
| -1 |
m = 7
Final Answer
m = 7
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?
m = 7
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
