Question

8x+4=3(2x-5)+7

the value of x is -6

8x+=3(2x-5)+7
8x+4=(6x-15)+7
8x+4=6x-15+7
8x-6x=-15+7-4
2x=-19+7
2x=-12
x=-6


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Answer 1

Answer:

8x+4=3(2x−5)+7

Step 1: Simplify both sides of the equation.

8x+4=3(2x−5)+7

8x+4=(3)(2x)+(3)(−5)+7(Distribute)

8x+4=6x+−15+7

8x+4=(6x)+(−15+7)(Combine Like Terms)

8x+4=6x+−8

8x+4=6x−8

Step 2: Subtract 6x from both sides.

8x+4−6x=6x−8−6x

2x+4=−8

Step 3: Subtract 4 from both sides.

2x+4−4=−8−4

2x=−12

Step 4: Divide both sides by 2.

2x/2 = −12/2

x=−6

Answer 2

SOLUTION

GIVEN

$\sf \: 8x + 4 = 3(2x - 5) + 7$

TO DETERMINE

The value of x

EVALUATION

Here the given equation is

$\sf \: 8x + 4 = 3(2x - 5) + 7$

We solve for x as below

$\sf \: 8x + 4 = 3(2x - 5) + 7$

$\sf \implies \: 8x + 4 = 6x - 15 + 7$

$\sf \implies \: 8x + 4 = 6x - 8$

$\sf \implies \: 8x - 6x = - 4 - 8$

$\sf \implies \: 2x = - 12$

$\sf \implies \: x = - 6$

FINAL ANSWER

Hence the required value of x = - 6

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