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Maurinko [17]
3 years ago
14

Solve for x. 5x - 4 = -3x + 12

Mathematics
2 answers:
svlad2 [7]3 years ago
6 0

Answer:

\boxed{ \bold{  \huge{\boxed{ \sf{x = 2}}}}}

Step-by-step explanation:

\sf{5x - 4 =  - 3x + 12}

Move 3x to left hand side and change it's sign

⇒\sf{5x + 3x  - 4 = 12}

Move 4 to right hand side and change it's sign

⇒\sf{5x + 3x = 12 + 4}

Collect like terms

⇒\sf{8x = 12 + 4}

Add the numbers

⇒\sf{8x = 16}

Divide both sides of the equation by 8

⇒\sf{ \frac{8x}{8}  =  \frac{16}{8} }

Calculate

⇒\sf{x = 2}

Hope I helped!

Best regards!!

Dmitriy789 [7]3 years ago
5 0

Step-by-step explanation:

5x+3x=12+4

8x=16

x=16÷8

x=2

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−6x+14<−28 OR 9x+15≤−12
Serhud [2]

Answer:x>7 or x ≤ -3

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A shopkeeper buys pens at the rate of ₹ 75 per 100. for how much should he sell each pen so as to make a gain of 15%? please hel
Lady bird [3.3K]

Answer:

He should sell each pen of Rs.0.8625 so as to make a gain of 15%

Step-by-step explanation:

  • Cost price of 100 pens = Rs.75
  • Cost price of 1 pen=\frac{75}{100} = 0.75
  • Gain%= 15%

Gain=15%X 0.75= 0.1125

SP = CP+Gain = 0.75+0.1125=0.8625

<u>So, He should sell each pen of Rs.0.8625 so as to make a gain of 15%</u>

#Learn more:

By selling 60 pens a shopkeeper gain the cp of 15 pen. If he bought 20 pens in rs36. Find the sp of one pen

brainly.in/question/15083989

https://brainly.in/question/7469007

3 0
3 years ago
HELP PLZ!!!!!!! Is the following graph a function?
Stels [109]
This graph does not represent a function because the x-intercepts repeat themselves several times. In order for a graph or group of coordinates to be a function, there must be only one of a particular x-coordinate.
8 0
3 years ago
Which doubles fact helps you solve 8+7=15? Write the number sentence
ziro4ka [17]
You can do 8 + 8 = 16 then minus 1 cuz thats how much you added 
4 0
4 years ago
Read 2 more answers
Matteo has &amp;400 in his saving account. On average he spends $10 per week on buying apps. Luca has $200 in his savings accoun
n200080 [17]

Answer: By the 8th week.

Step-by-step explanation:

Let the time that matteo and luca have the same amount of money be represented by x.

The information given in the question can be formed into an equation as:

400 - 10x = 200 + 15x

Collect like terms

400 - 200 = 15x + 10x

200 = 25x

x = 200/25

x = 8

Matteo and Luca will have the same amount of money by the 8th week.

4 0
3 years ago
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