Solve the following equation
11+x-2=3x-11
Solve for x
11 + x - 2 = 3x - 11
Group the constants on the left
11 - 2 = 9
Form modified equation
x + 9 = 3x - 11
Group variables
Group our variables x and 3x
subtract 3x from both sides
x + 9 - 3x = 3x - 11 - 3x
Cancel 3x on the right side:
-2x + 9 = -11
Divide each side by 11
| 11x | |
| 11 |
| = |
| -2 |
| 11 |
Group constants
Group our constants 9 and -11.
subtract 9 from both sides
-2x + 9 - 9 = -11 - 9
Cancel 9 on the left side:
-2x = -20
Divide each side of the equation by -2
| -2x | |
| -2 |
| = |
| -20 |
| -2 |
x = 10
Final Answer
x = 10
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?
x = 10
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
