What is the answer to 4-(5+x)/3 =(8+x)/2 ?

The answer to 4-(5+x)/3 =(8+x)/2 is x=-2

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4-(5+x)/3 =(8+x)/2

4 - \frac{5 + x}{3} = \frac{8 + x}{2}

x = - 2

Solution steps

4 - \frac{5 + x}{3} = \frac{8 + x}{2}

Multiply by LCM

24 - 2 (x + 5) = 3 (x + 8)

Expand

24 - 2 (x + 5) : - 2 x + 14

Expand

3 (x + 8) : 3 x + 24

- 2 x + 14 = 3 x + 24

Move

14

to the right side

- 2 x = 3 x + 10

Move

3 x

to the left side

- 5 x = 10

Divide both sides by

- 5

x = - 2

y, 5 y - 6 x = 5

y, 6 x - 3 y = - 6

y, x + 3 y = 7

3 = 5 x - x

y, x + 3 y + 6 = 0

What is the answer to 4-(5+x)/3 =(8+x)/2 ?
The answer to 4-(5+x)/3 =(8+x)/2 is x=-2
Solve for x: 4-(5+x)/3 =(8+x)/2
The solution is x=-2