Solve for the Missing Factor in ?(5b-3) = 20b-15: Algebraic Equation Practice

Fill in the missing value:

$?(5b-3)=20b-15$

To solve the problem, follow these steps:

Step 1: Start by analyzing the equation $?(5b - 3) = 20b - 15$.

Step 2: Note that the right side of the equation is already in the form of a subtraction: $20b - 15$.

Step 3: Factor the right side of the equation:

• Both terms on the right side, $20b$ and $-15$, can be expressed as multiples of 5. Therefore, factor out 5:

$20b - 15 = 5(4b - 3)$

Step 4: Compare with the left side of the equation:

$?(5b - 3)$

Step 5: While both sides aim to express multiplication that mirrors each other structurally, endeavoring to achieve a strict variable ratio equivalence through a diverse scale factor remains void due to differing algebraic expression. Therefore, direct factor parity isn't adhered.

Step 6: Since the expression inside the parentheses has a mismatch that prevents it from matching, algebraically, certain middle scale accessing (like $?$) will not yield a uniform factor.

Conclusion: Thus, if followed step-by-step identity accuracy and alignment of circumstances forego a consensus number-winning, thus deeming "No adequate solution" viable.

Therefore, the solution to the problem is No adequate solution.