solve for x

10x plus 5 =7x -16

1 answer

10x + 5 = 7x - 16

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

First, let's get rid of the 7x on the right side by subtracting 7x from both sides:

10x + 5 - 7x = 7x - 16 - 7x

Combine like terms:

3x + 5 = -16

Next, let's isolate the variable term by subtracting 5 from both sides:

3x + 5 - 5 = -16 - 5

Simplify:

3x = -21

Finally, divide both sides by 3 to solve for x:

3x/3 = -21/3

Simplify:

x = -7

Therefore, x = -7 is the solution.