How do you solve $- 4 (2 x + 7) = 2 x + 18$ $-4(2x+7)=2x+18$ ?

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Answer 1 · 2017-12-09T04:33:47

$x = - 4.6$ $x = -4.6$

Begin by distributing $- 4$ $-4$

$- 4 (2 x + 7) = - 8 x - 28$ $-4(2x+7) = -8x - 28$

Next lets combine our like terms

$- 8 x - 28 = 2 x + 18 \Rightarrow - 10 x = 46$ $-8x - 28 = 2x + 18 rArr-10x = 46$

Finally divide by -10 on both sides to get x by its self

$- 10 x = 46 \Rightarrow x = - 4.6$ $-10x = 46 rArr x = -4.6$

Answer 2 · 2017-12-09T04:34:21

$x = - \frac{23}{5}$ $x=-23/5$

Begin by simplifying the left side by distributing the $- 4$ $-4$ to $(2 x + 7)$ $(2x+7)$

$- 4 (2 x + 7) = 2 x + 18$ $-4(2x+7)=2x+18$

$- 8 x - 28 = 2 x + 18$ $-8x-28=2x+18$

Subtract $2 x$ $2x$ from both sides

$- 10 x - 28 = 18$ $-10x-28=18$

Add 28 to both sides:

$- 10 x = 46$ $-10x=46$

Divide $- 10$ $-10$ from both sides

$x = - \frac{46}{10}$ $x=-46/10$

Simplify:

$x = - \frac{23}{5}$ $x=-23/5$

How do you solve −4(2x+7)=2x+18-4(2x+7)=2x+18?