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satela [25.4K]
3 years ago
10

25- (3x + 5) = 2(x+8) + x how do you do it step by step?

Mathematics
1 answer:
NemiM [27]3 years ago
7 0

Answer:

Simplifying

25 + -1(3x + 5) = 2(x + 8) + x

Reorder the terms:

25 + -1(5 + 3x) = 2(x + 8) + x

25 + (5 * -1 + 3x * -1) = 2(x + 8) + x

25 + (-5 + -3x) = 2(x + 8) + x

Combine like terms: 25 + -5 = 20

20 + -3x = 2(x + 8) + x

Reorder the terms:

20 + -3x = 2(8 + x) + x

20 + -3x = (8 * 2 + x * 2) + x

20 + -3x = (16 + 2x) + x

Combine like terms: 2x + x = 3x

20 + -3x = 16 + 3x

Solving

20 + -3x = 16 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

20 + -3x + -3x = 16 + 3x + -3x

Combine like terms: -3x + -3x = -6x

20 + -6x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0

20 + -6x = 16 + 0

20 + -6x = 16

Add '-20' to each side of the equation.

20 + -20 + -6x = 16 + -20

Combine like terms: 20 + -20 = 0

0 + -6x = 16 + -20

-6x = 16 + -20

Combine like terms: 16 + -20 = -4

-6x = -4

Divide each side by '-6'.

x = 0.6666666667

Simplifying

x = 0.6666666667

Step-by-step explanation:

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Studentka2010 [4]

Answer:

113

Step-by-step explanation:

96+17=113

180-113=67

67+x=180

x=180-67

x=113

7 0
3 years ago
Find the value of two numbers if their sum is 112 and their difference is 66.
snow_lady [41]

Answer:

x+y = 112 ........ (1)

x-y = 62............ (2)

from (1) and (2)

2x = 174

x = 174/2

x = 87

sub x = 87 in (1)

x+y = 112

87+y = 112

y = 112 - 87

y = 25

so the numbers are 87 and 25

Step-by-step explanation:

8 0
2 years ago
The lengths of the sides of a triangle are in the extended ratio 7 ​: 8 ​:9 . The perimeter of the triangle is 96 cm. What are t
PIT_PIT [208]

Answer:

28, 32, 36

Step-by-step explanation:

If you multiply each 7, 8, and 9 by 4 you get 28, 32, and 36. The sum of those numbers is 96.

5 0
3 years ago
PLEASE READ THE PICTURE
Kazeer [188]
f(x)
-5¾-3-4 that correct
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Social security tax that is 6.2% of her gross pay medicare tax that is 1.45% of her gross pay state tax that is 21% of her feder
user100 [1]

Marilyn's net pay will increase by $18.15 as her Federal Withholding Allowance increases from 3 to 4.

<h3>What is Federal Withholding Allowance?</h3>

A Federal Withholding Allowance is an exemption that lowers the amount of income tax you must deduct from an employee's paycheck.

Given: The following are the deductible computation:

  • For federal withholding allowance = 3:
  1. Social Security Tax: 6.2% of $810 = \frac{6.2\times810}{100} = $50.22
  2. Medicare tax : 1.45% of $810 = \frac{1.45\times810}{100} = $11.745
  3. State tax: (21% of 3)% of $810= \frac{21\times3 }{100} \times\frac{810}{100} = 0.63% of $810 = \frac{0.63\times810}{100} = $5.103

Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).

  • For Federal Withholding Allowance = 4:
  1. State tax: (21% of 4)% of $810 = (\frac{21\times4}{100}) \times\frac{810}{100} = 0.84% of $810 = \frac{0.84\times810}{100} =  $6.8704

Thus, as we can see from the calculations, the State taxes increased from $5.103 to $6.8704. Hence, the net pay increases by $18.15 as the federal allowance increases from 3 to 4.

To learn more about Federal Withholding Allowance, refer to the link: brainly.com/question/1212566

#SPJ4

4 0
2 years ago
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