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