Solve the following equation
6s+6=3(s+6)
Solve for s
6s + 6 = 3(s + 6)
Simplify by removing parenthesesSimplify 3(s + 6):
Distribute the 3 to each term in (s+6)
3 * s = (3 * 1)s = 3s
3 * 6 = (3 * 6) = 18
Our Total expanded term is 3s + 18
Our new term is
6s + 6 = 3s + 18
Simplify by removing parentheses
Our new term is
6s + 6 = 3s + 18
Group variables
Group our variables 6s and 3s
subtract 3s from both sides
6s + 6 - 3s = 3s + 18 - 3s
Cancel 3s on the right side:
3s + 6 = 18
Divide each side by 6
| 6s | |
| 6 |
| = |
| 6 |
| 6 |
Group constants
Group our constants 6 and 18.
subtract 6 from both sides
3s + 6 - 6 = 18 - 6
Cancel 6 on the left side:
3s = 12
Divide each side of the equation by 3
| 3s | |
| 3 |
| = |
| 12 |
| 3 |
s = 4
Final Answer
s = 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?
s = 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
