15(x-2)=7( x -2)+16

To solve the equation, we need to simplify both sides and then isolate the variable.

Let's simplify the equation step by step:

15(x-2) = 7(x-2) + 16

First, we'll distribute 15 to (x-2) and distribute 7 to (x-2):

15x - 30 = 7x - 14 + 16

Simplifying further, we can combine like terms:

15x - 30 = 7x + 2

Next, let's get rid of the constants on the right side by subtracting 2 from both sides:

15x - 30 - 2 = 7x + 2 - 2

15x - 32 = 7x

Now, let's isolate the variable by subtracting 7x from both sides:

15x - 32 - 7x = 7x - 7x

8x - 32 = 0

Finally, we can isolate x by adding 32 to both sides:

8x - 32 + 32 = 0 + 32

8x = 32

To find the value of x, we need to divide both sides by 8:

8x/8 = 32/8

x = 4

So, the solution to the equation is x = 4.