Solve the following equation
20+10w=1000-15w
Solve for w
20 + 10w = 1000 - 15w
Group variables
Group our variables 10w and -15w
add 15w to both sides
10w + 20 + 15w = -15w + 1000 + 15w
Cancel -15w on the right side:
25w + 20 = 1000
Divide each side by 20
| 20w | |
| 20 |
| = |
| 10 |
| 20 |
Group constants
Group our constants 20 and 1000.
subtract 20 from both sides
25w + 20 - 20 = 1000 - 20
Cancel 20 on the left side:
25w = 980
Divide each side of the equation by 25
| 25w | |
| 25 |
| = |
| 980 |
| 25 |
w = 39.2
Final Answer
w = 39.2
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 = 39.2
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
