Solve for the equation

13/2 -1/2x= -x +7/3

0.1167 or -4.2833

Step-by-step explanation:

13/2 -1/2x= -x +7/3

Collect like terms

-1/2x+x=7/3-13/2

Using LCM

(-1+2x²)/2x=(14-39)/6

(-1+2x²)/2x=-25/6

Cross multiply

6(-1+2x²)=-25(2x)

-6+12x²=-50x

12x²+50x-6

Solve using formulae method

-b±(√b²-4ac)/2a

Where a=12, b=50 and C=-6

(-50±(√50²-4(12)(-6)))/2(12)

(-50±(√2500+288))/24

(-50±√2788)/24

(-50±52.8)/24

(-50+52.8)/24 or (-50-52.8)/24

2.8/24 or -102.8/24

0.1167 or -4.2833

x = -25/3

Step-by-step explanation:

13/2 -1/2x= -x +7/3

Multiply each side by 6 to get rid of the fractions

6(13/2 -1/2x)= 6*(-x +7/3)

39 -3x = -6x +14

Add 6 to each side

39 -3x+6x = -6x+6x +14

39 +3x = 14

Subtract 39 from each side

39-39 +3x = 14-39

3x = -25

Divide each side by 3

3x/3 = -25/3

x = -25/3

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step-by-step explanation:

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step-by-step explanation:

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