Question

3t + 7 = 2 +5t , then find the value of t.​

Answer 1

t = ⁵⁄₂ or 2.5

Step-by-step explanation:

3t + 7 = 2 + 5t

• Simplify both sides of the equation

3t + 7 = 5t + 2

• Subtract 5t from both sides

3t + 7 − 5t = 5t + 2 − 5t

−2t + 7 = 2

• Subtract 7 from both sides

−2t + 7 − 7 = 2 − 7

−2t = −5

Divide both sides by -2

−2t / -2 = −5 / -2

• Simplify

t = ⁵⁄₂

• Turn the fraction into a decimal

t = 2.5

t = ⁵⁄₂ or 2.5

Answer 2

t = 5/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3t + 7 = 2 + 5t

Step 2: Solve for t

1. [Subtraction Property of Equality] Isolate t terms: 7 = 2 + 2t
2. [Subtraction Property of Equality] Isolate t term: 5 = 2t
3. [Division Property of Equality] Isolate t: 5/2 = t
4. Rewrite: t = 5/2