Question

question 10
what is the solution to the equation $23x - 17x - 42 = 2(2x - 6)$
○ no solution
○ $x = 3$
○ infinitely many solutions
○ $x = 15$

Explanation:

Step1: Simplify left side terms

$23x - 17x - 42 = 6x - 42$

Step2: Expand right side expression

$2(2x - 6) = 4x - 12$

Step3: Isolate x terms on left

$6x - 4x = -12 + 42$

Step4: Calculate both sides

$2x = 30$

Step5: Solve for x

$x = \frac{30}{2} = 15$

Answer:

D. x = 15