Solve the following equation
9(x-4)=6(x+4)
Solve for x
9(x - 4) = 6(x + 4)
Simplify by removing parentheses
Simplify 9(x - 4):
Distribute the 9 to each term in (x-4)
9 * x = (9 * 1)x = 9x
9 * -4 = (9 * -4) = -36
Our Total expanded term is 9x-36
Simplify 6(x + 4):
Distribute the 6 to each term in (x+4)
6 * x = (6 * 1)x = 6x
6 * 4 = (6 * 4) = 24
Our Total expanded term is 6x + 24
Our new term is
9x - 36 = 6x + 24
Simplify by removing parentheses
Our new term is
9x - 36 = 6x + 24
Group variables
Group our variables 9x and 6x
subtract 6x from both sides
9x - 36 - 6x = 6x + 24 - 6x
Cancel 6x on the right side:
3x - 36 = 24
Divide each side by 9
Group constants
Group our constants -36 and 24.
add 36 to both sides
3x - 36 + 36 = 24 + 36
Cancel 36 on the left side:
3x = 60
Divide each side of the equation by 3
x = 20
Final Answer
x = 20
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
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.
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
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