Solve the following equation
2x-9(x-4)=10
Solve for x
2x - 9(x - 4) = 10
Simplify by removing parenthesesSimplify -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
Our new term is
2x - 9x + 36 = 10
Simplify by removing parentheses
Our new term is
2x - 9x + 36 = 10
Group the x terms on the left:
(2 - 9)x = -7x
Form modified equation
-7x + 36 = + 10
Divide each side by 2
| 2x | |
| 2 |
| = |
| -9 |
| 2 |
Group constants
Group our constants 36 and 10.
subtract 36 from both sides
-7x + 36 - 36 = 10 - 36
Cancel 36 on the left side:
-7x = -26
Divide each side of the equation by -7
| -7x | |
| -7 |
| = |
| -26 |
| -7 |
x = 3.7142857142857
Final Answer
x = 3.7142857142857
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 = 3.7142857142857
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
