Let's solve for x in the equation:
x = (4/5)(x + 10)
To isolate x, you can follow these steps:
1. Distribute (4/5) on the right side of the equation:
x = (4/5)x + (4/5) * 10
2. Simplify the right side:
x = (4/5)x + 8
3. Now, let's move all terms with x to one side by subtracting (4/5)x from both sides:
x - (4/5)x = 8
4. Combine like terms on the left side:
(1 - 4/5)x = 8
5. Subtract 4/5 from 1:
(1/5)x = 8
6. Finally, isolate x by dividing both sides by 1/5 (which is the same as multiplying by 5):
x = 8 / (1/5)
x = 8 * 5
x = 40
So, the solution to the equation is x = 40.