Solve the following equation
2s+2(s+5)=50
Solve for s
2s + 2(s + 5) = 50
Simplify by removing parenthesesSimplify 2(s + 5):
Distribute the 2 to each term in (s+5)
2 * s = (2 * 1)s = 2s
2 * 5 = (2 * 5) = 10
Our Total expanded term is 2s + 10
Our new term is
2s + 2s + 10 = 50
Simplify by removing parentheses
Our new term is
2s + 2s + 10 = 50
Group the s terms on the left:
(2 + 2)s = 4s
Form modified equation
4s + 10 = + 50
Divide each side by 2
| 2s | |
| 2 |
| = |
| 2 |
| 2 |
Group constants
Group our constants 10 and 50.
subtract 10 from both sides
4s + 10 - 10 = 50 - 10
Cancel 10 on the left side:
4s = 40
Divide each side of the equation by 4
| 4s | |
| 4 |
| = |
| 40 |
| 4 |
s = 10
Final Answer
s = 10
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?
s = 10
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
