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How do you solve $7 (2 x + 7) = 4 + 5 x$ $7( 2x + 7) = 4+ 5x$ ?

1 Answer

Elias · Stefan V.

Apr 17, 2018

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

Explanation:

$7 (2 x + 7) = 4 + 5 x$ $7(2x+7) = 4 +5x$

Distribute: $14 x + 49 = 4 + 5 x$ $" "14x +49 = 4 +5x$
Simplify: $14 x + 49 - 5 x = 4 + 5 x - 5 x$ $" "14x +49 -5x =4 +5x -5x$
$9 x + 49 = 4$ $" "9x+49 = 4$
Addition property of equality: $9 x + 49 - 49 = 4 - 49$ $" " 9x+49 -49= 4- 49$

So

$9 x = - 45$ $9x= -45$

$\frac{9 x}{9} = \frac{- 45}{9}$ $(9x)/9 = (-45)/9$

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

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