what’s the solution of the equation 2(x-10)+4=-6x+2

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what’s the solution of the equation 2(x-10)+4=-6x+2

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    0
    2021-09-19T07:08:28+00:00

    2x-20+4=-6x+2

    2x-16=-6x+2

    2x+6x=2+16

    8x=18

    x=2.25/2\frac{1}{4}

    0
    2021-09-19T07:08:56+00:00

    Step by step solution :

    Step  1  :

    Equation at the end of step  1  :

    (2 • (x – 10) + 4) – (2 – 6x) = 0

    Step 2

    Pulling out like terms :

    Pull out like factors :

       8x – 18  =   2 • (4x – 9) 

    Equation at the end of step  3  :

    2 • (4x – 9) = 0

    Step  4  :
    Equations which are never true 
     Solve :    2   =  0

    This equation has no solution.
    A a non-zero constant never equals zero.

    Solving a Single Variable Equation :

    Solve  :    4x-9 = 0 

     Add  9  to both sides of the equation : 
                          4x = 9 
    Divide both sides of the equation by 4:
                         x = 9/4 =
    2.250 

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