Question

solve for x.
\\( -7(-3x + 4) - 5x = 2(x - 9) - 4 \\)
simplify your answer as much as possible.
\\( x = \square \\)

Explanation:

Step1: Expand both sides

Left side: $-7(-3x + 4) - 5x = 21x - 28 - 5x$
Right side: $2(x - 9) - 4 = 2x - 18 - 4$

Step2: Simplify both sides

Left side: $21x - 28 - 5x = 16x - 28$
Right side: $2x - 18 - 4 = 2x - 22$

Step3: Subtract 2x from both sides

$16x - 28 - 2x = 2x - 22 - 2x$
$14x - 28 = -22$

Step4: Add 28 to both sides

$14x - 28 + 28 = -22 + 28$
$14x = 6$

Step5: Divide both sides by 14

$x = \frac{6}{14} = \frac{3}{7}$

Answer:

$\frac{3}{7}$