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As per question,
[tex]2(4x-3)-8=4+2x[/tex]
Opening brackets in left side,
[tex]↪8x - 6 - 8 = 4 + 2x[/tex]
Now bring the common terms together,
[tex]↪8x - 2x = 4 + 6 + 8[/tex]
[tex]↪6x= 18[/tex]
Now divide 18 by 6,
[tex]↪x = \frac{18}{6} [/tex]
[tex]↪x = 3[/tex]
So, Value of x = 3