Question

Solve it0-%206%29" id="TexFormula1" title=" \sf \: 5(x - 9) + 3(x + 4) = 2(x - 6)" alt=" \sf \: 5(x - 9) + 3(x + 4) = 2(x - 6)" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

$5x - 45 + 3x + 12 = 2x - 12 \\ 8x - 33 = 2x - 12 \\ 6x = 21 \\ x = 3.5$

Answer 2

Answer:

$\huge{x = \frac{7}{2} }$

Step-by-step explanation:

5(x - 9) + 3(x + 4) = 2(x - 6)

First expand the terms in the bracket

That's

5x - 45 + 3x + 12 = 2x - 12

Simplify

8x - 33 = 2x - 12

8x - 2x = 33 - 12

6x = 21

Divide both sides by 6

$\frac{6x}{6} = \frac{21}{6} \\ x = \frac{21}{6}$

Simplify

We have the final answer as

$x = \frac{7}{2}$

Hope this helps you