Question

find x
① 0.25(x + 4) - 3 = 28
② 6 - 6x = 5x - 9x - 2

Explanation:

Step1: Solve first equation: Expand brackets

$0.25x + 1 - 3 = 28$

Step2: Simplify constants

$0.25x - 2 = 28$

Step3: Isolate x term

$0.25x = 28 + 2$
$0.25x = 30$

Step4: Solve for x

$x = \frac{30}{0.25} = 120$

Step5: Solve second equation: Simplify right side

$6 - 6x = -4x - 2$

Step6: Move x terms to left

$6 - 6x + 4x = -2$
$6 - 2x = -2$

Step7: Isolate x term

$-2x = -2 - 6$
$-2x = -8$

Step8: Solve for x

$x = \frac{-8}{-2} = 4$

Answer:

1. $x = 120$
2. $x = 4$