Question

What is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) simplified? 0.2 [5x + (–0.3)] + (–0.5)(–1.1x + 4.2) x – 2.16

Answer 1

Answer:

1.55x-2.16

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Answer 2

0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06

Solution:

Given expression is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2).

To simplify the expression, first multiply the common term within the bracket.

0.2(5x – 0.3) – 0.5(–1.1x + 4.2)

            = (5x × 0.2 – 0.3 × 0.2)  + (–1.1x × (–0.5) + 4.2 × (–0.5))

            = (1x – 0.06) + (5.5x – 2.1)

            = x – 0.06 + 5.5x – 2

Combine like terms together.

            = x + 5.5x – 0.06 – 2

            = 6.5x – 2.06

0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06

Hence the simplified form of 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) is 6.5x – 2.06.