Question

Anyone please write an easy solution to solve this linear equation with brackets:

16-4(x+3)=2x

anyone pls explain i keep getting 7/2!!

Answer 1

`\large \boxed{x = (2)/(3) }`

Explanation:

Goal

• Solve the equation for x-term.

Given

• Equation

`\large{16 - 4(x + 3) = 2x}`

Step 1

• Distribute/Expand 4 in the expression.

`16 - 4x - 12 = 2x`

Step 2

• Isolate x and combine like terms.

`16 - 12 = 2x + 4x`

Step 3

• Solve the equation for x-term

`4 = 6x \\ (4)/(6) = x \\ (2)/(3) = x`

Step 4

• If you are not sure that the answer is correct, I suggest to check the answer by substituting the value of x in the equation.

`16 - 4x - 12 = 2x`

Substitute x = 2/3 in the equation.

`16 - 4( (2)/(3) ) - 12 = 2 ((2)/(3) ) \\ 4 -4( (2)/(3) ) = 2( (2)/(3) )`

Evaluate

`4 - (8)/(3) = (4)/(3)`

Move -8/3 to add with 4/3.

`4 = (4)/(3) + (8)/(3) \\ 4 = (12)/(3) \\ 4 = 4`

The equation is true for x = 2/3. Hence, the solution is x = 2/3.

Hope this helps! Any questions about the answer can be asked in comments.

~ Vectør ~