What is the answer to (5x)/8-5(x-20)=(-2x+18)/6 ?

The answer to (5x)/8-5(x-20)=(-2x+18)/6 is x=24

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(5x)/8-5(x-20)=(-2x+18)/6

\frac{5 x}{8} - 5 (x - 20) = \frac{- 2 x + 18}{6}

x = 24

Solution steps

\frac{5 x}{8} - 5 (x - 20) = \frac{- 2 x + 18}{6}

Multiply by LCM

15 x - 120 (x - 20) = 8 (- x + 9)

Expand

- 120 (x - 20) : - 120 x + 2400

15 x - 120 x + 2400 = 8 (- x + 9)

Add similar elements:

15 x - 120 x = - 105 x

- 105 x + 2400 = 8 (- x + 9)

Expand

8 (- x + 9) : - 8 x + 72

- 105 x + 2400 = - 8 x + 72

Move

2400

to the right side

- 105 x = - 8 x - 2328

Move

8 x

to the left side

- 97 x = - 2328

Divide both sides by

- 97

x = 24

6 x - 9 x - 4 = - 2 x - 2

∣ y + 2 ∣ > 6

- 3 - 4 x > 13

x (x - 1) = - 5 x^{2} + 2

12 - \frac{33}{4}

What is the answer to (5x)/8-5(x-20)=(-2x+18)/6 ?
The answer to (5x)/8-5(x-20)=(-2x+18)/6 is x=24
Solve for x: (5x)/8-5(x-20)=(-2x+18)/6
The solution is x=24