Question

Jules wrote the expression below, but the first term got erased. if the expression simplifies to -46x + 18, find the missing term.

__ -4 (12x - 5) + 2x

Answer 1

-2

Explanation:

You want the missing term Z that makes Z -4(12x -5) +2x equal to -46x +18.

Difference

We can find Z by subtracting everything that is not Z from the left side of the equation ...

Z -4(12x -5) +2x = -46x +18

Z = (-46x +18) -(-4(12x -5) +2x) . . . . . . indicate the subtraction

Z = -46x +18 +48x -20 -2x . . . . . . . . eliminate parentheses

Z = (-46 +48 -2)x +(18 -20) . . . . . . . group like terms

Z = -2 . . . . . . . . . . . . . . . . . . . . . . . simplify

The missing term is -2.

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