3(5x-2)+2(9x-11)=4(8x-7)-111

Question:

3(5x-2)+2(9x-11)=4(8x-7)-111

Solution:

Given, $\quad 3(5 x-7)+2(9 x-11)=4(8 x-7)-111$

$\Rightarrow \quad 15 x-21+18 x-22=32 x-28-111$

$\Rightarrow \quad 33 x-43=32 x-139$

$\Rightarrow$ $33 x-32 x=-139+43$ [transposing $32 x$ to LHS and $-43$ to RHS]

$\therefore$ $x=-96$

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