Question
Solve the following equations: $a(2x - b) - b(3x - a)+a(x + 1) = b(x + 5)$
✓
Answer
$a(2 x-b)-b(3 x-a)+a(x+1)=b(x+5)$
On simplyfying, we get:
$2 a x-a b-3 b x+a b+a x+a=b x+5 b $
$\Rightarrow 3 a x-4 b x=5 b-a $
$\Rightarrow x(3 a-4 b)=5 b-a $
$\Rightarrow x=\frac{5 b-a}{(3 a-4 b)} .$
On simplyfying, we get:
$2 a x-a b-3 b x+a b+a x+a=b x+5 b $
$\Rightarrow 3 a x-4 b x=5 b-a $
$\Rightarrow x(3 a-4 b)=5 b-a $
$\Rightarrow x=\frac{5 b-a}{(3 a-4 b)} .$
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