Solve the following equation
18.25w+28=161-15w
Solve for w
18.25w + 28 = 161 - 15w
Group variables
Group our variables 18.25w and -15w
add 15w to both sides
18.25w + 28 + 15w = -15w + 161 + 15w
Cancel -15w on the right side:
33.25w + 28 = 161
Divide each side by 18.25
| 18.25w | |
| 18.25 |
| = |
| 28 |
| 18.25 |
Group constants
Group our constants 28 and 161.
subtract 28 from both sides
33.25w + 28 - 28 = 161 - 28
Cancel 28 on the left side:
33.25w = 133
Divide each side of the equation by 33.25
| 33.25w | |
| 33.25 |
| = |
| 133 |
| 33.25 |
w = 4
Final Answer
w = 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?
w = 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
