QuestionFind a number $x$ such that $8x + 4 = 2 \times 22$ .

Studdy Solution

STEP 1

Assumptions1. Let's denote the unknown number as 'x' . The problem states that when 'x' is multiplied by8 and4 is added to the product, the result is equal to the product of and22.

STEP 2

First, let's write down the equation based on the problem statement.
$8x +4 =2 \\times22$

STEP 3

Now, calculate the product of2 and22.
$2 \\times22 =44$ So, the equation becomes $8x + =44$

STEP 4

Next, let's isolate the term with 'x' on one side of the equation. We can do this by subtracting4 from both sides of the equation.
$8x =44 -4$

STEP 5

Now, calculate the right side of the equation.
$8x =40$

STEP 6

Finally, to find the value of 'x', divide both sides of the equation by8.
$x =40 /8$

STEP 7

Now, calculate the value of 'x'.
$x =40 / =5$ So, the number is5.

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QuestionFind a number $x$ such that $8x + 4 = 2 \times 22$ .

Studdy Solution

STEP 1

Assumptions1. Let's denote the unknown number as 'x' . The problem states that when 'x' is multiplied by8 and4 is added to the product, the result is equal to the product of and22.

STEP 2

First, let's write down the equation based on the problem statement.
$8x +4 =2 \\times22$

STEP 3

Now, calculate the product of2 and22.
$2 \\times22 =44$ So, the equation becomes $8x + =44$

STEP 4

Next, let's isolate the term with 'x' on one side of the equation. We can do this by subtracting4 from both sides of the equation.
$8x =44 -4$

STEP 5

Now, calculate the right side of the equation.
$8x =40$

STEP 6

Finally, to find the value of 'x', divide both sides of the equation by8.
$x =40 /8$

STEP 7

Now, calculate the value of 'x'.
$x =40 / =5$ So, the number is5.

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QuestionFind a number xxx such that 8x+4=2×228x + 4 = 2 \times 228x+4=2×22.

Studdy Solution

STEP 1

Assumptions1. Let's denote the unknown number as 'x' . The problem states that when 'x' is multiplied by8 and4 is added to the product, the result is equal to the product of and22.

STEP 2

First, let's write down the equation based on the problem statement.8x+4=2times228x +4 =2 \\times228x+4=2times22

STEP 3

Now, calculate the product of2 and22.2times22=442 \\times22 =442times22=44So, the equation becomes8x+=448x + =448x+=44

STEP 4

Next, let's isolate the term with 'x' on one side of the equation. We can do this by subtracting4 from both sides of the equation.8x=44−48x =44 -48x=44−4

STEP 5

Now, calculate the right side of the equation.8x=408x =408x=40

STEP 6

Finally, to find the value of 'x', divide both sides of the equation by8.x=40/8x =40 /8x=40/8

STEP 7

Now, calculate the value of 'x'.x=40/=5x =40 / =5x=40/=5So, the number is5.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind a number $x$ such that $8x + 4 = 2 \times 22$ .

First, let's write down the equation based on the problem statement.
$8x +4 =2 \\times22$

Now, calculate the product of2 and22.
$2 \\times22 =44$ So, the equation becomes $8x + =44$

Next, let's isolate the term with 'x' on one side of the equation. We can do this by subtracting4 from both sides of the equation.
$8x =44 -4$

Now, calculate the right side of the equation.
$8x =40$

Finally, to find the value of 'x', divide both sides of the equation by8.
$x =40 /8$

Now, calculate the value of 'x'.
$x =40 / =5$ So, the number is5.