Question

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

Answer 1

Answer: $x=4$

Step-by-step 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:

$\frac{3x}{3}=\frac{12}{3}$

Simplify the fraction:

$x=\frac{12}{3}$

Find the greatest common factor of the numerator and denominator:

$x=\frac{4\cdot 3}{1\cdot 3}$

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

$x=4$