Question

15x-7=2+12x I need help with this

Answer 1

`\huge{ \boxed{ \bold{ \tt{x = 3}}}}`

♁ Question : Solve for x

• 15x - 7 = 2 + 12x

♁ Step - by - step explanation

• 
  `\text{15x - 7 = 2 + 12x}`

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛
`\sf{15x - 12x - 7 = 2}`

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛
`\sf{15x - 12x = 2 + 7}`

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛
`\sf{3x = 2 + 7}`

Add the numbers : 2 and 7

➛
`\sf{3x = 9}`

Divide both sides by 3

➛
`\sf{ (3x)/(3) = (9)/(3)}`

➛
`\boxed{ \bold{ \sf{x = 3}}}`

The value of x is
`\boxed{ \sf{3}}`

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☄ Now, let's check whether the value of x is 3 or not!

☥ Verification :

`\sf{15x - 7 = 2 + 12x}`

`\dashrightarrow{ \sf{15 * 3 - 7 = 2 + 12 * 3}}`

`\dashrightarrow{ \sf{45 - 7 = 2 + 36}}`

`\dashrightarrow{ \sf{38 = 38}}`

L.H.S = R.H.S ( Hence , the value of x is 3 ).

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✒ Rules for solving an equation :

• If an equation contains fractions ,multiply each term by the L.C.M of denominators.
• Remove the brackets , if any.
• Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
• Simplify and get the single term on each side.
• Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl