BECE Mathematics 2020 Paper

Concept:When one expression is subtracted from another, the first expression is written first, and the second expression is subtracted from it.Explanation:We need to subtract $(7x-3)$ from $(5-3x)$, so we write:$$(5-3x)-(7x-3)$$This is the same as multiplying the second bracket by $-1$:$$(5-3x)-1(7x-3)$$Using the distributive property, expand $-1(7x-3)$:$$-1 \times 7x + (-1) \times (-3) = -7x + 3$$Remember that multiplying two negative numbers gives a positive number.Now the whole expression becomes:$$5-3x-7x+3$$Group the like terms together:$$5+3-3x-7x$$Simplify the constant terms and the $x$ terms:$$8-10x$$This is the required answer.Answer:$$8-10x$$(Option C)