Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 3}}}}[/tex]
♁ Question : Solve for x
♁ Step - by - step explanation
- [tex] \text{15x - 7 = 2 + 12x}[/tex]
Move 12x to L.H.S ( Left Hand Side ) and change it's sign
➛[tex] \sf{15x - 12x - 7 = 2}[/tex]
Move 7 to R.H.S ( Right Hand Side) and change it's sign
➛[tex] \sf{15x - 12x = 2 + 7}[/tex]
Subtract 12x from 15x
Remember that only coefficients of like terms can be added or subtracted.
➛[tex] \sf{3x = 2 + 7}[/tex]
Add the numbers : 2 and 7
➛[tex] \sf{3x = 9}[/tex]
Divide both sides by 3
➛ [tex] \sf{ \frac{3x}{3} = \frac{9}{3}} [/tex]
➛ [tex] \boxed{ \bold{ \sf{x = 3}}}[/tex]
The value of x is [tex] \boxed{ \sf{3}}[/tex]
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☄ Now, let's check whether the value of x is 3 or not!
☥ Verification :
[tex] \sf{15x - 7 = 2 + 12x}[/tex]
[tex] \dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}[/tex]
[tex] \dashrightarrow{ \sf{45 - 7 = 2 + 36}}[/tex]
[tex] \dashrightarrow{ \sf{38 = 38}}[/tex]
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
