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Viktor [21]
3 years ago
11

What is the solution to the equation

Mathematics
2 answers:
Elis [28]3 years ago
8 0

Answer:

x = -13

Step-by-step explanation:

Distribute:

8 - 6x + 10x - 15 = 20 - 5x

Combine like terms:

4x - 7 = 20 - 5x

Isolate Variable

-x = 13

-1(-x) = -1(13)

x = -13

Montano1993 [528]3 years ago
8 0

Answer: x=3

Step-by-step explanation:

You need to apply Distributive property on the left side of the equation:

2(4-3x)+5(2x-3)=20-5x\\\\8-6x+10x-15=20-5x

Now you must add the like terms on the left side of the equation:

-7+4x=20-5x

Add 5x to both sides:

-7+4x+5x=20-5x+5x\\\\-7+9x=20

Add 7 to boht sides of the equation:

-7+9x+7=20+7\\\\9x=27

And finally, divide both sides by 9:

\frac{9x}{9}=\frac{27}{9}\\\\x=3

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For this, we use the FOIL method of expanding brackets; start by multiplying the FIRST terms of each bracket together to get xx=x^2. Next multiply the OUTSIDE elements, ie the first element in the first bracket and the last in the second, giving x(-5)=-5x. Then comes the INSIDE elements, giving 4x=4x, and finaly the LAST elements of each bracket, giving 4(-5)=-20. Adding all these terms together gives us our answer; x^2+4x-5x-20, which can be simplified to x^2-x-20.
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