Hi there! :)
Answer:
The solution to the given equation is: infinitely many solutions
Explanation:
-7(4x - 6) - 3 = 14(-2x + 4) - 17
Add "3" to each side of the equation: -17 + 3 = -14
-7(4x - 6) = 14(-2x + 4) - 14
Distribute the "-7" to the entire parentheses: -7 × 4x = -28x // -7 × -6 = 42
Distribute the "14" to the entire parentheses: 14 × -2x = -28x // 14 × 4 = 56
-28x + 42 = -28x + 56 - 14
Subtract "42" from each side of the equation: (56 - 14) - 42 = 0
-28x = -28x
Since both sides are equal to each other, any different value of "x" will make this equation true. This means you have infinite solutions to this equation.
There you go! I really hope this helped, if there's anything just let me know! :)