Question

Solve for x: 3(x – 3) = 5(2x + 1)​

Answer 1

Answer:

3(x-3) =5(2x + 1)

3x -9 = 10x + 5

3x-10x = 5 -9

-7x = -4

x= 7/4

Answer 2

$\large {\textsf{\textbf {Correct~Question :-}}}$ Solve for x : $ \rm{3(x - 3) = 5(2x + 1)}$

$\large {\textsf{\textbf {Correct~Solution :-}}}$

$\sf{3(x - 3) = 5(2x + 1)}$

$\leadsto \sf{3x-9=5\left(2x+1\right) }$

$\leadsto \sf{3x-9=10x+5 }$

$\leadsto \sf{3x-9-10x=5 }$

$\leadsto \sf{-7x-9=5 }$

$\leadsto \sf{-7x=5+9 }$

$\leadsto \sf{-7x=14 }$

$\leadsto \sf{x=\frac{14}{-7} }$

$: \implies \boxed{ \pmb{ \bf{ \red{x = - 2}}}}$

• Hence, the value of $ x $ in the following equation will be $ \bf{-2}$.

```Check :-

$\sf{3((-2)-3)=5(2(-2)+1)}$

$\mapsto \sf{3\left(-5\right)=5\left(2\left(-2\right)+1\right) }$

$\mapsto \sf{-15=5\left(2\left(-2\right)+1\right) }$

$\mapsto \sf{-15=5\left(-4+1\right) }$

$\mapsto \sf{-15=5\left(-3\right) }$

$\mapsto \boxed{ \pmb{ \bf \red{-15=-15 }}}$

Hence,

$\mathcal{\qquad LHS = RHS}$

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