Enter Equation or Inequality
  

Solve the following equation

5(x-6)=4(x-5)

Solve for x

5(x - 6) = 4(x - 5)

Simplify by removing parentheses
Simplify 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

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


You have 2 free calculationss remaining



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
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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

For more math formulas, check out our Formula Dossier

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
Example calculations for the Equation and Inequalities Calculator
  1. 2x=6
  2. 9w - 12<=20
  3. -y + 2 + 10y - 9 -6 >= -3 + 4y + 40 - 8y
  4. 2x - 9(x - 4) = 10
  5. |x|=-2
  6. |-4y|=-8
  7. x^2=25
  8. 2y^2=50
  9. 2y^2-3=53
  10. 2sqrt(4x)=20
  11. |2x+4|=30
  12. |x/2|<10
  13. |2x+6|-7=40
  14. (4x+10)^2=400

Equation and Inequalities Calculator Video


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