Solve the following equation
6(x+3)=42
Solve for x
6(x + 3) = 42
Simplify by removing parenthesesSimplify 6(x + 3):
Distribute the 6 to each term in (x+3)
6 * x = (6 * 1)x = 6x
6 * 3 = (6 * 3) = 18
Our Total expanded term is 6x + 18
Our new term is
6x + 18 = 42
Simplify by removing parentheses
Our new term is
6x + 18 = 42
Divide each side by 6
| 6x | |
| 6 |
| = |
| 18 |
| 6 |
Group constants
Group our constants 18 and 42.
subtract 18 from both sides
6x + 18 - 18 = 42 - 18
Cancel 18 on the left side:
6x = 24
Divide each side of the equation by 6
| 6x | |
| 6 |
| = |
| 24 |
| 6 |
x = 4
Final Answer
x = 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?
x = 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
