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3 years ago

Solve for x 4(2x-1)= 3x-19

Mathematics

2 answers:

Sophie [7]3 years ago

8 0

X=-3
This is the answer

drek231 [11]3 years ago

7 0

Answer:

x = -3

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

4 ( 2x - 1 ) = 3x - 19

→ Expand the brackets

8x - 4 = 3x - 19

→ Minus 3x from both sides to isolate -19 and bring all the x coefficients to one side

5x - 4 = -19

→ Add -4 to both sides to isolate 5x

5x = -15

→ Divide both sides by 5 to isolate x and therefore find the value of x

x = -3

→ We can substitute x = -3 back into 4 ( 2x - 1 ) = 3x - 19 to see if we have the correct solution, if we end with the same number on both sides then x = -3 is correct.

4 ( 2x - 1 ) = 3x - 19

8x - 4 = 3x - 19

( 8 × -3 ) - 4 = ( 3 × -3 ) - 19

-24 - 4 = - 9 - 19

-28 = -28

So x = -3 is correct

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First you make 15 a fraction by putting it over 1.
Then you make 6 2/3 a mixed fraction.
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We get
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Now, we divide 15/1 with 20/3.
When we divide it, we actually cross multiply it. Basically, we flip the fraction and multiply it.

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We get 45/20 which can be simplified to 9/5 which can be simplified to 2 1/4.

So the answer is 9/4 or 2 1/4.

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sertanlavr [38]

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Step-by-step explanation:

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mote1985 [20]

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