Question

1. simplify by subtracting ( 5x - 2 ) from ( 3x + 4 ).

a. ( -2x - 6 )
b. ( 8x + 2 )
c. ( -2x + 6 )
d. ( 2x + 6 )

Explanation:

Step1: Translate the problem into an expression

We need to subtract \(5x - 2\) from \(3x + 4\), which means we calculate \((3x + 4)-(5x - 2)\).

Step2: Distribute the negative sign

Using the distributive property \(a-(b - c)=a - b + c\), we get \(3x + 4-5x + 2\).

Step3: Combine like terms

For the \(x\)-terms: \(3x-5x=-2x\). For the constant terms: \(4 + 2 = 6\). So the simplified expression is \(-2x+6\).

Answer:

c. \(-2x + 6\)