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PilotLPTM [1.2K]
3 years ago
9

Solve the for the variable. SHOW ALL WORK/EXPLAIN EVERY STEP!!!2(x-2)-5=3-2x+6​

Mathematics
2 answers:
tiny-mole [99]3 years ago
4 0

Answer:

x=9/2

Step-by-step explanation:

First distribute 2

2x-4-5=3-2x+6

Add the like terms on the left side -4-5=-9

2x-9=3-2x+6

Do this with the right side 3+6=9

2x-9=-2x+9

Add 9 from the left side to the right side

2x=-2x+18

Then add 2x from the right side to the left side

4x=18

Divide 4 from both sides

x=18/4 or 9/2

Colt1911 [192]3 years ago
4 0

Answer:

9/2

Step-by-step explanation:

2x-4-5= 3-2x+6  distribute 2 through the parentheses

2x-4-5=9-2x     add the numbers

2x-9=9-2x calculate the difference

2x+2x-9= 9  move variable to left side and change sign

2x+2x= 9+9 move constant to right side and change sign

4x= 18  collect like terms

x=9/2 divide both sides by 4

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Factorize completely the expression(h+2k)²+4k²-h²​
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The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

From the question,

We are to factorize the expression (h+2k)²+4k²-h²​ completely

The expression can be factorized as shown below

(h+2k)²+4k²-h²​ becomes

(h+2k)² + 2²k²-h²​

(h+2k)² + (2k)²-h²​

Using difference of two squares

The expression (2k)²-h²​ = (2k+h)(2k-h)

Then,

(h+2k)² + (2k)²-h²​ becomes

(h+2k)² + (2k +h)(2k-h)

This can be written as

(h+2k)² + (h +2k)(2k-h)

Now,

Factorizing, we get

(h +2k)[(h+2k) + (2k-h)]

Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

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saw5 [17]

Answer:

For given linear equation having infinite many solution the value of k is 20  .

Step-by-step explanation:

Given as :

The equation is 2 (4 x + 10) = 8 x + k

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<u>So, from given linear equation</u>

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