Question

What is the solution to this equation?

3x – 5 + 2x = 25

Answer 1

x = 6

Explanation:

First, combine like terms. Like terms are terms that have the same amount of like variables:

3x - 5 + 2x = 25

(3x + 2x) - 5 = 25

5x - 5 = 25

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 5 to both sides of the equation:

5x - 5 = 25

5x - 5 (+5) = 25 (+5)

5x = 25 + 5

5x = 30

Next, isolate the x by dividing 5 from both sides of the equation:

(5x)/5 = (30)/5

x = 30/5

x = 6

x = 6 is your solution.

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Answer 2

`x=6`

Explanation:

We want to find the solution to the equation:

`3x-5+2x=25`

Rearrange:

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

Combine like terms:

`5x-5=25`

We can add five to both sides:

`5x=30`

And divide both sides by five. Therefore:

`x=6`