Question
Solve these equation:
10 – 5x = 3(x – 4) – 2(x – 7)
10 – 5x = 3(x – 4) – 2(x – 7)
✓
Answer
10 – 5x = 3(x – 4) – 2(x – 7)
⇒ 10 – 5x = 3x – 12 – 2x + 14
⇒ 10 – 5x = 3x – 2x – 12 + 14
⇒ 10 – 5x = x + 2
⇒ 10 – 2 = x + 5x
⇒ 8 = 6x
$\Rightarrow x=\frac{4}{3}$
⇒ 10 – 5x = 3x – 12 – 2x + 14
⇒ 10 – 5x = 3x – 2x – 12 + 14
⇒ 10 – 5x = x + 2
⇒ 10 – 2 = x + 5x
⇒ 8 = 6x
$\Rightarrow x=\frac{4}{3}$
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