Question

Find x for -3+x=2(x+3)

Answer 1

Given Equation :

`{\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\`

Solution :

`\\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\`

Using Distributive property for the right side we get :

`\\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2x+ 6 }}} \\ \\`

Now, subtracting 2x from both sides we get :

`\\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x - 2x =2x - 2x + 6 }}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad - \: 3- x = 6 }}} \\ \\`

Now, Adding 3 to both sides we get :

`\\ {\longrightarrow \pmb{\sf {\qquad - \: 3 + 3- x = 6 + 3 }}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad- \: x = 9 }}} \\ \\`

Now, Multiplying both sides by (-1) we get :

`\\ {\longrightarrow \pmb{\sf {\qquad (- 1)(- x) = ( - 1)9 }}} \\ \\`

`{\longrightarrow \pmb{\sf {\qquad x = - 6 }}} \\ \\`

Therefore,

• The value of x is (-9) .

Answer 2

x = -9

Explanation:

find x for -3 + x = 2 (x+3)

-3 + x = 2 (x + 3) <== distribute

-3 + x = 2x + 6 <== subtract 1x from both sides

-x -x

-3 = x + 6 <== subtract 6 from both sides

-6 -6

-9 = x or x = -9

Hope this helps!