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The sum of 3 times the value of x and 2 is equal to 4 less than 5 times the value of x. Witch equation can be used to find the value of x?

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musiclover10045

Write the written problem into an equation to get:

3x +2 = 5x -4

To solve:

Add 4 to each side:

3x+6 = 5x

Subtract 3x from each side:

2x = 6

Divide both sides by 2:

x = 6/2

x = 3

You didn't list the options so it could like like any of the equations I show above.

To solve such problems we need to know about expressions.

Part 1

Expression

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.

The complete equation is 3x+2 = 5x-4 and the value of x is 2.

Part 2

Given information,

  • The sum of 3 times the value of x and 2 is equal to 4 less than 5 times the value of x.

Solution

We can solve the information by dividing the statements into parts,

part A: "The sum of",

Meaning we need to add the two numbers.

part B:  "3 times the value of x",

the first number is 3 times the value of x, therefore, 3x.

part C:  "and 2 is equal to",

the second number is 2. also, "equal" shows that one side of the equation is over and explained.

So, till now we have got

3x + 2

part D:  "4 less than"

meaning 4 is been deducted from a number.

part E: "5 times the value of x",

Now, it is showing us the number from which 4 is been deducted. therefore, the number is 5x.

Thus, the complete equation is 3x+2 = 5x-4.

Further, solving the equation,

[tex]3x+2=5x-2\\+2+2 = 5x-3x\\4 = 2x\\2x =4\\x =2[/tex]

Hence, the value of x is 2.

Learn more about Expression:

https://brainly.com/question/2263981

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