Solve the following equation
-65(x-79)=x+98
Solve for x
-65(x - 79) = x + 98
Simplify by removing parenthesesSimplify -65(x - 79):
Distribute the -65 to each term in (x-79)
-65 * x = (-65 * 1)x = -65x
-65 * -79 = (-65 * -79) = 5135
Our Total expanded term is -65x + 5135
Our new term is
-65x + 5135 = x + 98
Simplify by removing parentheses
Our new term is
-65x + 5135 = x + 98
Group variables
Group our variables -65x and x
subtract x from both sides
-65x + 5135 - x = x + 98 - x
Cancel x on the right side:
-66x + 5135 = 98
Group constants
Group our constants 5135 and 98.
subtract 5135 from both sides
-66x + 5135 - 5135 = 98 - 5135
Cancel 5135 on the left side:
-66x = -5037
Divide each side of the equation by -66
| -66x | |
| -66 |
| = |
| -5037 |
| -66 |
x = 76.318181818182
Final Answer
x = 76.318181818182
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 = 76.318181818182
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
