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-1/2 (5x-8) - 1 = 6 writen as an equation

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We are given the equation
(-1)/(2)(5x-8)-1=6

to solve the equation we follow the following steps:


i) add 1 to both sides:


(-1)/(2)(5x-8)=7

ii) multiply both sides by -2:

5x-8 = -14

iii) add 8 to both sides:

5x=-6

iv) divide both sides by 5:

x=-6/5

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