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

To solve this equation, we will first simplify both sides of the equation:

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

Using the distributive property, we can expand both sides:

15x - 30 = 7x - 14 + 16

Combine like terms on the right side:

15x - 30 = 7x + 2

Subtract 7x from both sides:

15x - 7x - 30 = 2

Combine like terms on the left side:

8x - 30 = 2

Add 30 to both sides:

8x - 30 + 30 = 2 + 30

Simplify:

8x = 32

Finally, divide both sides by 8:

8x/8 = 32/8

Simplify:

x = 4

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