Math Problem Statement

-7t=-5t+6

Solution

We can solve the equation 7t=5t+6-7t = -5t + 6 step by step.

Step 1: Move all terms involving tt to one side.

Add 5t5t to both sides to get rid of the 5t-5t on the right side: 7t+5t=6-7t + 5t = 6 This simplifies to: 2t=6-2t = 6

Step 2: Solve for tt.

Now, divide both sides by 2-2 to isolate tt: t=62=3t = \frac{6}{-2} = -3

Final answer:

t=3t = -3

Would you like further details or have any questions?

Here are 5 related questions:

  1. What if the equation was 7t=5t+8-7t = -5t + 8?
  2. How would you solve 7t+3=5t-7t + 3 = -5t?
  3. Can you explain how to solve an equation with fractions, like 7t=5t+6\frac{7}{t} = \frac{5}{t} + 6?
  4. How would you solve for tt in 7t2=5t+6-7t^2 = -5t + 6?
  5. What if the equation had absolute values, like 7t=5t+6|-7t| = -5t + 6?

Tip: Always try to simplify the equation by isolating the variable on one side of the equation first!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic Linear Equation: ax + b = 0

Theorems

Addition Property of Equality
Division Property of Equality

Suitable Grade Level

Grades 6-8