6x +  4  -  7x  =  10  - 2x  +  3 if x=4

To solve the equation \( 6x + 4 - 7x = 10 - 2x + 3 \) when \( x = 4 \), follow these steps:

1. **Substitute \( x = 4 \) into the equation:**

   \[
   6(4) + 4 - 7(4) = 10 - 2(4) + 3
   \]

2. **Simplify both sides:**

   - Left-hand side:

   \[
   24 + 4 - 28 = 0
   \]

   - Right-hand side:

   \[
   10 - 8 + 3 = 5
   \]

3. **Compare the simplified expressions:**

   \[
   0 \neq 5
   \]

Since the left-hand side and the right-hand side are not equal, the equation does not hold true for \( x = 4 \).

Would you like a more detailed explanation or have any questions?

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Here are five related questions:

1. How do you solve linear equations with variables on both sides?
2. What are common methods to verify solutions to equations?
3. How can we graphically represent the solution to an equation like this?
4. What happens if we substitute different values of \( x \) into the equation?
5. How can we rearrange this equation to make \( x \) the subject?

**Tip:** Always check your final answer by substituting back into the original equation to ensure it holds true.

Learn how to solve the linear equation 6x + 4 - 7x = 10 - 2x + 3 when x = 4. Follow a detailed step-by-step solution with explanations on substitution and simplification. Suitable for Grades 7-9 students studying algebra and equations.

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