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x-(9x-10)+11=12x+3(-2x+1/3)

Sagot :

simplify by distributing
distribute the - to (9x - 10)    and distribute 3 to (-2x+1/3)
so x-9x +10 + 11 = 12x - 6x +1
simplify: -8x +21 = 6x + 1
        put like terms on each side
           20 = 14x
20/14 = 10/7 = x

Answer:  x =   10 / 7

Step-by-step explanation:

X - (9x - 10)  + 11 = 12x +  3  (-2x   +   1/3)

To simplify this, we have to first open the bracket

x -  9x +10 + 11  =  12x  -   3(-2x)   +  3(1/3)

x - 9x  +  10 + 11   =  12x   - 6x  +  1

-8x  +   21   =  6x   +  1

We will now collect like term

(which implies 8x will move to the right hand side hence it becomes positive 8x and then 1 will move to the left hand side hence it becomes negative 1)

21 - 1 =  6x + 8x

20   =   14x

Now, we divide both-sides of the equation by 14

Hence;

[tex]\frac{20}{14} = \frac{14x}{14}[/tex]

[tex]\frac{20}{14}[/tex]      =      x

x =   [tex]\frac{20}{14}[/tex]

Dividing the numerator and the denominator by 2, x becomes;

x =  [tex]\frac{10}{7}[/tex]