1. solve 10x + 4 = 39
2. solve 4(9x + 2)= 152
10x + 4 = 39
10x = 35
x = ?
4(9x + 2)= 152
36x + 8 = 152
36x = 144
x = ?
1. To solve the equation 10x + 4 = 39, we need to isolate the variable x.
First, let's get rid of the constant term on the left side of the equation. We can do this by subtracting 4 from both sides of the equation:
10x + 4 - 4 = 39 - 4
This simplifies to:
10x = 35
Now, we need to isolate x by getting rid of the coefficient 10. We can do this by dividing both sides of the equation by 10:
10x/10 = 35/10
Simplifying further:
x = 3.5
Therefore, the solution to the equation 10x + 4 = 39 is x = 3.5.
2. To solve the equation 4(9x + 2) = 152, we need to isolate the variable x.
First, let's distribute the 4 on the left side of the equation:
36x + 8 = 152
Next, let's isolate x by subtracting 8 from both sides of the equation:
36x + 8 - 8 = 152 - 8
Simplifying further:
36x = 144
Now, to isolate x, we need to divide both sides of the equation by 36:
36x/36 = 144/36
Simplifying further:
x = 4
Therefore, the solution to the equation 4(9x + 2) = 152 is x = 4.