Math Problem Statement

-10+2x=-6

Solution

We are given the equation:

10+2x=6-10 + 2x = -6

To solve for xx, follow these steps:

Step 1: Isolate the term with xx

First, add 10 to both sides to move the constant term from the left-hand side.

2x=6+102x = -6 + 10

2x=42x = 4

Step 2: Solve for xx

Now, divide both sides by 2 to isolate xx.

x=42x = \frac{4}{2}

x=2x = 2

Thus, the solution is x=2x = 2.

Do you want further details or have any questions?

Here are 5 related questions to deepen understanding:

  1. What happens if the equation was 10+2x=0-10 + 2x = 0?
  2. How do we handle equations where xx is on both sides, such as 2x4=x+32x - 4 = x + 3?
  3. Can you solve 3x7=2x+13x - 7 = 2x + 1?
  4. How would you solve for xx in 5x+3=185x + 3 = 18?
  5. What if the equation was 10+2x=6-10 + 2x = 6 instead of 6-6?

Tip: Always start by simplifying both sides of an equation to isolate the variable.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation manipulation

Theorems

Equality properties in algebra

Suitable Grade Level

Grades 6-8