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Alisiya [41]
2 years ago
7

What value of x makes the equation −2x−(−5−4x)=−5(2x−7) true?

Mathematics
1 answer:
Anestetic [448]2 years ago
3 0

Answer:

-2x - (-5 - 4x) = -5(2x - 7)

-2x + 5 - 4x = -5 * 2x - 5 * (-7)  

-6x + 5 = -10x - 35

-6x + 5 + 10x = -10x - 35 + 10x

4x + 5 = -35

4x + 5 - 5 = -35 - 5

4x = -40

4x/4 = -40/4

x = 10  

Step-by-step explanation:

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We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

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Now we need to split the b term into two pieces that multiply to -60 and add to 4.

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Now group one part of b with the 15x^2 and the other part with -4.

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Now factor both terms.

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