Question

$\huge\underline{\sf{\purple{Question}}}$
Solve the equation and verify your answer as step by step.
$\longmapsto \: \bf\dfrac{x + 2}{6} + \dfrac{x - 3}{3} = x$
  ⠀⠀⠀

Need Well Explained Answer
━━━━━━━━━
Spam = Report
Right/Well explained answer = (100+♡ + Brainliest)
━━━━━━━━━
So, Don't Spam..✔​

Answer 1

$\huge \sf{ x = - \frac{4}{3} }$

Hope this will help u

Take Care Buddy

Answer 2

Question:-

• Solve the equation and verify your answer as step by step.

• $\longmapsto \: \bf\dfrac{x + 2}{6} + \dfrac{x - 3}{3} = x$

Solution:-

Here ,

$\tt\implies \: \dfrac { x + 2 } { 6 } + \dfrac { x - 3 } { 3 } = x$ . . . . . ( 1 )

$\tt\implies \: \dfrac { x + 2 + 2( x - 3 ) } { 6 } = x$

$\tt\implies \: \dfrac { x + 2 + 2x - 6 } { 6 } = x$

$\tt\implies \: \dfrac { 3x - 4 } { 6 } = x$

$\tt\implies \: 3x - 4 = 6x$

$\tt\implies \: 6x - 3x = - 4$

$\tt\implies \: 3x = - 4$

$\tt\implies \: x = \dfrac { - 4 } { 3 }$

Verification:-

$\tt\implies \: \dfrac { x + 2 } { 6 } + \dfrac { x - 3 } { 3 } = x$

Substitute "x" in the equation ( 1 ):-

$\tt\implies \: \dfrac { \dfrac{ - 4 \: }{ \: \: \: 3 \: } + 2 } { 6 } + \dfrac { \dfrac{ - 4 \: }{ 3} - 3 } { 3 } = \dfrac{ - 4 \: }{3}$

$\tt\implies \: \dfrac{ \dfrac{2}{3} }{ \: \: \: 6 \: \: \: } + \dfrac{ \dfrac{ - 13 \: }{3} }{ \: \: \: 3 \: \: \: } = \dfrac{ - 4 \: }{3}$

$\tt\implies \: \dfrac { 2 } { 3 } \times \dfrac { 1 } { 6 } + \dfrac { - 13 } { 3 } \times \dfrac { 1 } { 3 } = \dfrac { - 4 } { 3 }$

$\tt\implies \: \dfrac { 1 } { 9 } + \dfrac { - 13 } { 9 } = \dfrac { - 4 } { 3 }$

$\tt\implies \: \cancel\dfrac { - 12 } { 9 } = \dfrac { - 4 } { 3 }$

$\tt\implies \: \dfrac { - 4 } { 3 } = \dfrac { - 4 } { 3 }$

• Hence Proved