What value of b will make the expressions −12.8x+b and −3.2(4x−2.1)+2.4 equivalent?

asked Nov 22, 2023 164k views

3 votes

by Dejv

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5 votes

Solution:

Note that:

-12.8x+b = -3.2(4x-2.1)+2.4

Simplifying the distributive property.

-12.8x+b = -3.2(4x-2.1)+2.4

$-12.8x+b = -12.8x + 6.72+2.4\\$

Simplifying the RHS.

-12.8x+b = -12.8x + 9.12

Canceling out -12.8x.

b = 9.12

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