Solve the following equation
16+4x-17=x+20
Solve for x
16 + 4x - 17 = x + 20
Group the constants on the left
16 - 17 = -1
Form modified equation
4x - 1 = x + 20
Group variables
Group our variables 4x and x
subtract x from both sides
4x - 1 - x = x + 20 - x
Cancel x on the right side:
3x - 1 = 20
Divide each side by 16
| 16x | |
| 16 |
| = |
| 4 |
| 16 |
Group constants
Group our constants -1 and 20.
add 1 to both sides
3x - 1 + 1 = 20 + 1
Cancel 1 on the left side:
3x = 21
Divide each side of the equation by 3
| 3x | |
| 3 |
| = |
| 21 |
| 3 |
x = 7
Final Answer
x = 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?
x = 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
