Question

d) $2x + 7 - 5x = 3(5 + 6x) - 12x$

Explanation:

Step1: Simplify left side

Combine like terms:
$2x - 5x + 7 = -3x + 7$

Step2: Simplify right side

Distribute 3, combine like terms:
$3(5) + 3(6x) - 12x = 15 + 18x - 12x = 15 + 6x$

Step3: Isolate x terms

Subtract $6x$ and 7 from both sides:
$-3x - 6x = 15 - 7$
$-9x = 8$

Step4: Solve for x

Divide both sides by -9:
$x = \frac{8}{-9}$

Answer:

$x = -\frac{8}{9}$