Question

Solve the equation square root 2x – 7 + x = 5 algebraically, and justify the solution set

Answer 1

Answer:
`x=4`

Explanation:

`2x-7+x=5`

Group like terms:

`\left(2x+x\right)-7=5`

Simplify the arithmetic:

`3x-7=5`

Add 7 to both sides:

`3x-7+7=5+7`

Simplify the arithmetic:

`3x=5+7`

Simplify the arithmetic:

`3x=12`

Divide both sides by 3:

`(3x)/(3)=(12)/(3)`

Simplify the fraction:

`x=(12)/(3)`

Find the greatest common factor of the numerator and denominator:

`x=(4\cdot 3)/(1\cdot 3)`

Factor out and cancel the greatest common factor and the answer will be:

`x=4`