Question

linear equations in one variable. consider the equation 7x - 6 + 3 = 5x + 2x + 5. which best describes the number of solutions for the given equation? a one solution b two solutions c infinitely many solutions d no solution

Explanation:

Step1: Simplify both sides of the equation

First, simplify the left - hand side: $7x-6 + 3=7x-3$.
Simplify the right - hand side: $5x + 2x+5=7x + 5$.
So the equation becomes $7x-3=7x + 5$.

Step2: Try to solve for x

Subtract $7x$ from both sides of the equation:
$7x-7x-3=7x-7x + 5$.
This simplifies to $-3 = 5$, which is a false statement.

Answer:

D. no solution