Solve the following equation
2t-5=3(t-5)
Solve for t
2t - 5 = 3(t - 5)
Simplify by removing parenthesesSimplify 3(t - 5):
Distribute the 3 to each term in (t-5)
3 * t = (3 * 1)t = 3t
3 * -5 = (3 * -5) = -15
Our Total expanded term is 3t-15
Our new term is
2t - 5 = 3t - 15
Simplify by removing parentheses
Our new term is
2t - 5 = 3t - 15
Group variables
Group our variables 2t and 3t
subtract 3t from both sides
2t - 5 - 3t = 3t - 15 - 3t
Cancel 3t on the right side:
-t - 5 = -15
Divide each side by 2
| 2t | |
| 2 |
| = |
| -5 |
| 2 |
Group constants
Group our constants -5 and -15.
add 5 to both sides
-t - 5 + 5 = -15 + 5
Cancel 5 on the left side:
-t = -10
Divide each side of the equation by -1
| -1t | |
| -1 |
| = |
| -10 |
| -1 |
t = 10
Final Answer
t = 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?
t = 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
