Let's solve the equation step by step:

\[
8 - 12x - 5 - 2x = 5
\]

1. Combine like terms on the left-hand side:
\[
(8 - 5) + (-12x - 2x) = 5
\]
\[
3 - 14x = 5
\]

2. Subtract 3 from both sides to isolate the term with \( x \):
\[
-14x = 5 - 3
\]
\[
-14x = 2
\]

3. Divide both sides by -14 to solve for \( x \):
\[
x = \frac{2}{-14}
\]
\[
x = -\frac{1}{7}
\]

So, the solution is:

\[
x = -\frac{1}{7}
\]

Would you like more details or have any questions?

Here are 5 related questions you might want to explore:
1. How can we verify the solution by plugging the value back into the original equation?
2. What happens if we multiply both sides of the equation by a constant? 
3. How do we solve similar linear equations with different coefficients?
4. How do we handle equations that involve fractions?
5. Can this type of equation have no solution or infinitely many solutions?

**Tip:** Always simplify both sides of the equation as much as possible before isolating the variable!

Learn how to solve the linear equation 8 - 12x - 5 - 2x = 5 with a detailed, step-by-step solution. This solution explains the key algebraic concepts, including combining like terms and isolating variables, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation