Solve for x: 7⋅x + 7 = 4⋅x -- 7

To solve the equation ( 7x + 7 = 4x - 7 ), we start by isolating the variable ( x ).

1. First, we want to bring all terms involving ( x ) to one side of the equation. We can do this by subtracting ( 4x ) from both sides:

[

7x - 4x + 7 = -7

]

This simplifies to:

[

3x + 7 = -7

]

2. Next, we need to isolate ( 3x ). We do this by subtracting ( 7 ) from both sides:

[

3x = -7 - 7

]

Which simplifies to:

[

3x = -14

]

3. Finally, we solve for ( x ) by dividing both sides by ( 3 ):

[

x = \frac{-14}{3}

]

This can also be written as:

[

x = -4.67

]

Thus, the solution ( x = -4.67 )