Question

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

Explanation:

Step1: Simplify left side

$2x - 5x + 7 = -3x + 7$

Step2: Expand right side

$3(5) + 3(6x) - 12x = 15 + 18x - 12x$

Step3: Simplify right side

$15 + (18x - 12x) = 15 + 6x$

Step4: Rearrange terms to isolate $x$

$-3x - 6x = 15 - 7$

Step5: Combine like terms

$-9x = 8$

Step6: Solve for $x$

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

Answer:

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