Solve the following equation
4x-36=-5x
Solve for x
4x - 36 = - 5x
Group variables
Group our variables 4x and -5x
add 5x to both sides
4x - 36 + 5x = -5x + 5x
Cancel -5x on the right side:
9x - 36 = 0
Divide each side by 4
| 4x | |
| 4 |
| = |
| -36 |
| 4 |
Group constants
Group our constants -36 and 0.
add 36 to both sides
9x - 36 + 36 = 0 + 36
Cancel 36 on the left side:
9x = 36
Divide each side of the equation by 9
| 9x | |
| 9 |
| = |
| 36 |
| 9 |
x = 4
Final Answer
x = 4
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 = 4
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
