Question

$(2x - 3) - \frac{3}{5}(3x - 7) = 1$
please slove this question with verification ​

Answer 1

Solution :

$(2x - 3) - \frac{3}{5}(3x - 7) = 1$

$\implies\frac{5(2x - 3) - 3(3x - 7)}{5} = 1$

$\implies(10x - 15)-(9x - 21) = 5$

$\implies (10x-15-9x+21)=5$

$\implies(x+6)=5$

$\implies x=5-6$

$x=-1$

Verification :

Put x = -1 in given equation,

$(2\cdot(-1) - 3) - \frac{3}{5}[3\cdot(-1) - 7] = 1$

$\implies(-5) - \frac{3}{5}(-10) = 1$

$\implies-5+6=1$

$1 = 1 $ [ True ]

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