Question

Is 1/8 - 10× (3/4-3/8X) + 5/8X equivalent to -1/8 × (59-35X)

Answer 1

Yes, Both are equivalent.

Step-by-step explanation:

Step 1:

To find the equality between the given terms Use the BODMAS (Brackets Orders Division Multiplication Addition Subtraction)

RHS SIDE:

$(1/8)-10*((3/4)-(3/8*X)+(5/8*X)$

Equation after 1st modification

$(1/8)-((15/2)-(15/4*X))+(5/8*X)$

Equation after Second modification

$((1/8)-(15/2)+(15/4*X)+(5/8*X))$

Equation after Third modification

LCM 2,4,8 is 8

And taking LCM equation changes to $(1-60+30*X+5*X)/8$

Equation after Final modification

$(-59+35*X)/8$        ---------   1

Step 2:

LHS SIDE:

$-1/8*(59-35X)$

By applying the BODMAS rule in the above equation we will get

$(-59+35*X)/8$        ------------ 2

From equations 1 & 2, the expression $(1/8)-(10*((3/4)-(3/8*X))+(5/8*X)$ is equivalent to $(-1/8)*(59-35*X)$