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.
