Question

solve the following equation and check your answer.
x+2(3x-2)+2x=14
​

Answer 1

$x+2(3x-2)+2x=14$

$x +6x - 4 + 2x = 14$

$7x - 4 + 2x = 14$

$9x = 14 + 4$

$9x = 18$

$x = \frac{18}{9}$

$x = 2$

$Checking \: \: Equation :$

$x+2(3x-2)+2x=14$

$2+2(3(2) - 2)+2(2)=14$

$2 + 2(6 - 2) + 4 = 14$

$2 + 2(4) + 4 = 14$

$2 + 8 + 4 = 14$

$14 = 14$

$L.H.S = R.H.S$

Answer 2

Answer:

We get the value of x$=2$

Step-by-step explanation:

In accordance with the information provided in the question,

Given the data in question  x+2(3x-2)+2x=14

Arrange the equation multiply LHS side x+2 into (3x-2)+2x=14

$x+6x-4+2x=14\\x+8x-4=14\\9x-4=14$

We have find the value of" x" in the above question.

Here we will use the transposition method.

Hence, for solving the above equation, we will solve it by separating the like terms at one side,

So, we will shift 4 from LHS to RHS the sign will change from negative to positive ,

As we get,

$9x-4=14\\9x=14+4\\9x=18$

Dividing both side by 9 we get,

$\frac{9x}{9} =\frac{18}{9} \\x=2$

Put the value of x=2 in equation and check the result

$x+2(3x-2)+2x=14\\2+2(3\times 2-2)+4=14\\2+2(6-2)+4=14\\2+2(4)+4=14\\2+8+4=14\\10+4=14\\14=14$

LHS=RHS

Hence we get the value of x$=2$