Question

$\frac{9x}{5} + \frac{2x}{3} + \frac{2x}{6} = 171$
​

Answer 1

Step-by-step explanation:

Simplifying

9x/5 = 2x + 6

Reorder the terms:

-5 + 9x = 2x + 6

Reorder the terms:

-5 + 9x = 6 + 2x

Solving

-5 + 9x = 6 + 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.

-5 + 9x + -2x = 6 + 2x + -2x

Combine like terms: 9x + -2x = 7x

-5 + 7x = 6 + 2x + -2x

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

-5 + 7x = 6 + 0

-5 + 7x = 6

Add '5' to each side of the equation.

-5 + 5 + 7x = 6 + 5

Combine like terms: -5 + 5 = 0

0 + 7x = 6 + 5

7x = 6 + 5

Combine like terms: 6 + 5 = 11

7x = 11

Divide each side by '7'.

x = 1.571428571

Simplifying

x = 1.571428571