Question #f6578

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Answer 1 · 2017-09-28T13:20:58

$x = 30.25$ $x=30.25$ or $x = \frac{121}{4}$ $x=121/4$

First, we subtract $86$ $86$ from both sides:

$x + 86 - 86 = 5 x - 35 - 86$ $x+86color(blue)-color(blue)86=5x-35color(blue)-color(blue)86$

Simplify:

$x = 5 x - 121$ $x=5x-121$

Subtract $5 x$ $5x$ from both sides:

$x - 5 x = 5 x - 121 - 5 x$ $xcolor(blue)-color(blue)5color(blue)x=5x-121color(blue)-color(blue)5color(blue)x$

Simplify:
$- 4 x = - 121$ $-4x=-121$

Divide both sides by $- 4$ $-4$ :

$- 4 x \div - 4 = - 121 \div - 4$ $-4x-:-4=-121-:-4$

Simplify:
$x = \frac{121}{4}$ $x=121/4$ , or $30.25$ $30.25$ (decimal)