9 times a number increased by 8 is the same as 50 more than 2 times the number. find the number.

Question

Mathematics

Shayna

11 August, 11:53

9 times a number increased by 8 is the same as 50 more than 2 times the number. find the number.

+2

Answers (1)

Know the Answer?

Nathalia Glass · Answer 1

9x + 8 = 50 - 2x

Simplifying

9x + 8 = 50 + - 2x

Reorder the terms:

8 + 9x = 50 + - 2x

Solving

8 + 9x = 50 + - 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

8 + 9x + 2x = 50 + - 2x + 2x

Combine like terms: 9x + 2x = 11x

8 + 11x = 50 + - 2x + 2x

Combine like terms: - 2x + 2x = 0

8 + 11x = 50 + 0

8 + 11x = 50

Add '-8' to each side of the equation.

8 + - 8 + 11x = 50 + - 8

Combine like terms: 8 + - 8 = 0

0 + 11x = 50 + - 8

11x = 50 + - 8

Combine like terms: 50 + - 8 = 42

11x = 42

Divide each side by '11'.

x = 3.818181818

Simplifying

x = 3.818181818