Question

$3(7x - 1) = 4x + 6$
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Answer 1

Answer:

Your answer is 9/17 .

I hope it works

Answer 2

Explanation:

$3(7x-1)=4x+6$

==> $21x-3=4x+6$

==> $21x-4x=6+3$

==> $17x=9$

∴ $x=\frac{9}{17}$

Verification:

$3(7\times\frac{9}{17}-1)=4\times\frac{9}{17}+6$

==> $3(\frac{63}{17}-1)=\frac{36}{17}+6$

==> $3(\frac{63-17}{17})=\frac{36+102}{17}$

==> $3\times\frac{46}{17}=\frac{138}{17}$

==> $\frac{138}{17}=\frac{138}{17}$

LHS = RHS, hence verified.

Answer: x = 9/17