Question

b. \\(2x + 7 - 5x + 8 = 3(5 + 6x) - 12x\\)

Explanation:

Step1: Simplify both sides

Left side: Combine like terms. \(2x - 5x + 7 + 8 = -3x + 15\)
Right side: Distribute and combine like terms. \(3\times5 + 3\times6x - 12x = 15 + 18x - 12x = 15 + 6x\)
So the equation becomes \(-3x + 15 = 15 + 6x\)

Step2: Subtract 15 from both sides

\(-3x + 15 - 15 = 15 + 6x - 15\)
Simplify to get \(-3x = 6x\)

Step3: Subtract 6x from both sides

\(-3x - 6x = 6x - 6x\)
Simplify to get \(-9x = 0\)

Step4: Divide both sides by -9

\(x = \frac{0}{-9}\)
Simplify to get \(x = 0\)

Answer:

\(x = 0\)