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Solve the following equation

2t-5=3(t-5)

Solve for t

2t - 5 = 3(t - 5)

Simplify by removing parentheses
Simplify 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

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




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
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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
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