Solve the following equation
5(x-6)=4(x-5)
Solve for x
5(x - 6) = 4(x - 5)
Simplify by removing parenthesesSimplify 5(x - 6):
Distribute the 5 to each term in (x-6)
5 * x = (5 * 1)x = 5x
5 * -6 = (5 * -6) = -30
Our Total expanded term is 5x-30
Simplify 4(x - 5):
Distribute the 4 to each term in (x-5)
4 * x = (4 * 1)x = 4x
4 * -5 = (4 * -5) = -20
Our Total expanded term is 4x-20
Our new term is
5x - 30 = 4x - 20
Simplify by removing parentheses
Our new term is
5x - 30 = 4x - 20
Group variables
Group our variables 5x and 4x
subtract 4x from both sides
5x - 30 - 4x = 4x - 20 - 4x
Cancel 4x on the right side:
x - 30 = -20
Divide each side by 5
| 5x | |
| 5 |
| = |
| -30 |
| 5 |
Group constants
Group our constants -30 and -20.
add 30 to both sides
x - 30 + 30 = -20 + 30
Cancel 30 on the left side:
x = 10
Final Answer
x = 10
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 = 10
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
