Question #edb28

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Answer 1 · 2018-01-21T01:15:00

$x \approx 3.467$ $x~~3.467$

Given: $5.5 x - 15 = - 2 x + 11$ $5.5x-15=-2x+11$

Begin by adding $15$ $15$ to both sides

$5.5 x - 15 + 15 = - 2 x + 11 + 15$ $5.5x-15color(red)(+15)=-2x+11color(red)(+15)$

$5.5 x + 0 = - 2 x + 26$ $5.5x+0=-2x+26$

$5.5 x = - 2 x + 26$ $5.5x=-2x+26$

Add $2 x$ $2x$ to both sides:

$5.5 x + 2 x = - 2 x + 2 x + 26$ $5.5xcolor(red)(+2x)=-2xcolor(red)(+2x)+26$

$7.5 x = 0 + 26$ $7.5x=0+26$

$7.5 x = 26$ $7.5x=26$

Divide both sides by $7.5$ $7.5$

$cancel(7.5)/cancelcolor(red)7.5x=26/color(red)7.5$

$x~~3.467$