Question

1/2x+5=-2/3x+1/2
Solve for x

Answer 1

Hi dear!!

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`\small\boxed{\sf{\sf\red{{\: x = \sf\ \:{{\: ( - 27)/(7) }}}}}}`

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Step 1: Add 2/3x to both sides.

Step 2: Subtract 5 from both sides.

`(7)/(6) x + 5 - 5 = (1)/(2) - 5`

Step 3: Multiply both sides by 6/7.

`( (6)/(7) )*( (7)/(6) x) = ((6)/(7) )*( ( - 9)/(2) )`

So thr answer is

x=-27/7

Answer 2

`(1)/(2)x +5 = -(2)/(3) x +(1)/(2) \\(1)/(2) x + (2)/(3) x = (1)/(2)-5\\ (7)/(6) x=-(9)/(2) \\x=-(54)/(14) =-(27)/(7)`

Hope that helped!