Solve the equation: –9x + 1 = –x + 17

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

Answer: The value of x in the equation –9x + 1 = –x + 17 is -2.

An equation is like a weighing balance with equal weights on both sides. If we add or subtract the same number from both sides of an equation, it still holds.

Explanation:

Add 9x on the both sides of the equation –9x + 1 = –x + 17.

–9x + 1 + 9x = –x + 17 + 9x

1 = 17 + 8x

Subtract 17 from both the sides of the equation, 1 = 17 + 8x.

1 - 17 = 17 + 8x - 17

8x = -16

Divide both sides of the equation 8x = -16 by 8.

x = -16/8 

x = -2

So, the solution of the equation –9x + 1 = –x + 17 is x = -2.