Question

How many solutions does x−7=7−x have

Answer 1

x = 7

Explanation:

Solving the equation:

x - 7 = 7 - x

• Bring the unknown variable 'x' to the LHS. So, add 'x' to both sides of the equation.

x - 7 + x = 7 - x + x

x + x - 7 = 7

• Combine the like terms.

2x - 7 = 7

• Now, isolate the term '2x' by adding 7 to both sides of the equation.

2x = 7 + 7

2x = 14

• Divide both sides of the equation by 2

x = 14 ÷ 2

x = 7

Answer: The equation has only one solution. x = 7