Question

if $10 - 4(x - 1) = 2 - x$, then $x =$\
$\frac{8}{7}$\
$\frac{-16}{5}$\
$4$\
$\frac{7}{3}$\
question 12\
which expression is equivalent to $3(x - 8) > 5x + 6$?\
$x < 15$\
$x < -15$\
$x > -15$\
$x < 9$

Explanation:

Step1: Expand left-hand side

$10 - 4(x-1) = 10 - 4x + 4 = 14 - 4x$

Step2: Set equal to right-hand side

$14 - 4x = 2 - x$

Step3: Isolate x terms

$-4x + x = 2 - 14$

Step4: Simplify both sides

$-3x = -12$

Step5: Solve for x

$x = \frac{-12}{-3} = 4$

---

Step1: Expand left-hand side

$3(x-8) = 3x - 24$

Step2: Set up inequality

$3x - 24 > 5x + 6$

Step3: Isolate x terms

$3x - 5x > 6 + 24$

Step4: Simplify both sides

$-2x > 30$

Step5: Solve for x (reverse inequality)

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

Answer:

First question: 4
Second question: $x < -15$