Question

15x-7=2+12x I need help with this​

Answer 1

Answer:

15x - 7 = 2 + 12x

15x - 12x = 2 + 7

3x = 9

x = 9/3

x = 3

Answer 2

♁ Question : Solve for x

• 15x - 7 = 2 + 12x

♁Answer :

• $\text{15x-7=2+12x}$

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 numbera : 2 and 7

$➛\sf{3x=9}$

Divide both sides by 3

$➛\sf{\frac{3x}{3}=\frac{9}{3}}$

$➛\boxed{\bold{\sf{x=3}}}$

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 :

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

$\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}$

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

$\dashrightarrow{ \sf{38 = 38}}$

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.