Question

topic: special cases and applications
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
solve for x.
4(3x - 1) + 9 - 2x = 2x + 5 + 8x
○ x = \\(\frac{1}{2}\\)
○ x = all real numbers
○ x = \\(4\frac{1}{2}\\)
○ there is no solution.

Explanation:

Step1: Expand the left parentheses

$4(3x-1)+9-2x = 12x - 4 + 9 - 2x$

Step2: Simplify both sides

Left: $12x - 4 + 9 - 2x = 10x + 5$
Right: $2x + 5 + 8x = 10x + 5$

Step3: Subtract $10x+5$ from both sides

$10x + 5 - (10x + 5) = 10x + 5 - (10x + 5)$
$0 = 0$

Answer:

x = all real numbers