Solve the following equation
1200-40w=120+50w
Solve for w
1200 - 40w = 120 + 50w
Group variables
Group our variables -40w and 50w
subtract 50w from both sides
-40w + 1200 - 50w = 50w + 120 - 50w
Cancel 50w on the right side:
-90w + 1200 = 120
Divide each side by 1200
| 1200w | |
| 1200 |
| = |
| -40 |
| 1200 |
Group constants
Group our constants 1200 and 120.
subtract 1200 from both sides
-90w + 1200 - 1200 = 120 - 1200
Cancel 1200 on the left side:
-90w = -1080
Divide each side of the equation by -90
| -90w | |
| -90 |
| = |
| -1080 |
| -90 |
w = 12
Final Answer
w = 12
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?
w = 12
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
