Solve the following equation
5(s+120)=7s
Solve for s
5(s + 120) = 7s
Simplify by removing parenthesesSimplify 5(s + 120):
Distribute the 5 to each term in (s+120)
5 * s = (5 * 1)s = 5s
5 * 120 = (5 * 120) = 600
Our Total expanded term is 5s + 600
Our new term is
5s + 600 = 7s
Simplify by removing parentheses
Our new term is
5s + 600 = 7s
Group variables
Group our variables 5s and 7s
subtract 7s from both sides
5s + 600 - 7s = 7s - 7s
Cancel 7s on the right side:
-2s + 600 = 0
Divide each side by 5
| 5s | |
| 5 |
| = |
| 600 |
| 5 |
Group constants
Group our constants 600 and 0.
subtract 600 from both sides
-2s + 600 - 600 = 0 - 600
Cancel 600 on the left side:
-2s = -600
Divide each side of the equation by -2
| -2s | |
| -2 |
| = |
| -600 |
| -2 |
s = 300
Final Answer
s = 300
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 = 300
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
