Solve for x: 9⋅x + 7 = 6⋅x -- 5

To solve the equation ( 9 \cdot x + 7 = 6 \cdot x - 5 ), the first step is to isolate ( x ) on one side of the equation. You can start by subtracting ( 6 \cdot x ) from both sides:

[

9 \cdot x - 6 \cdot x + 7 = -5

]

This simplifies to:

[

3 \cdot x + 7 = -5

]

Next, subtracting 7 from both sides gives:

[

3 \cdot x = -5 - 7

]

This results in:

[

3 \cdot x = -12

]

Now, to solve for ( x ), divide both sides by 3:

[

x = \frac{-12}{3}

]

Calculating this yields:

[

x = -4

]

Thus, the solution to the equation is ( x = -4 ), which aligns with the correct answer. By following these steps methodically, you can find the value of ( x ) that satisfies the given equation.