Question

Solve for x : 10x+5=7x−16 .

Answer 1

To solve for x, we need to isolate the variable on one side of the equation.

First, let's combine like terms by subtracting 7x from both sides:
10x + 5 - 7x = 7x - 16 - 7x
3x + 5 = -16

Next, let's isolate the variable term by subtracting 5 from both sides:
3x + 5 - 5 = -16 - 5
3x = -21

Finally, let's solve for x by dividing both sides by 3:
3x/3 = -21/3
x = -7

The solution is x = -7.