Math Problem Statement

-28=5x-3

Solution

Let's solve the equation step by step:

28=5x3-28 = 5x - 3

  1. Add 3 to both sides of the equation to isolate the term with xx:

28+3=5x-28 + 3 = 5x

25=5x-25 = 5x

  1. Now, divide both sides by 5 to solve for xx:

x=255x = \frac{-25}{5}

x=5x = -5

So, the solution is x=5x = -5.

Would you like further details on the steps? Or do you have any questions?

Here are 5 related questions:

  1. What if the equation was 28=3x3-28 = 3x - 3?
  2. How would you solve an equation with fractions like 282=5x4\frac{-28}{2} = \frac{5x}{4}?
  3. How do you check if the solution to an equation is correct?
  4. Can you solve a system of equations like 2x3=42x - 3 = 4 and 5x+1=85x + 1 = -8?
  5. What happens if the equation involves absolute values, like 5x3=28|5x - 3| = 28?

Tip: Always isolate the variable (x) first by eliminating constants or coefficients step by step.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Isolation of variable
Basic algebraic operations (addition, division)

Theorems

Solving linear equations

Suitable Grade Level

Grades 6-8