Question

How do you solve for x in the following problem... 4 (x + 3) -2x + 8 = 28

Answer 1

Given the expression

`4(x+3)-2x+8=28`

To solve it for x, the first step is to calculate the term in parentheses, for this you have to apply the distributive property of multiplication.

`\begin{gathered} (4\cdot x)+(4\cdot3)-2x+8=28 \\ 4x+12-2x+8=28 \end{gathered}`

Next order the alike terms toghether and calculate:

`\begin{gathered} 4x-2x+12+8=28 \\ 2x+20=28 \end{gathered}`

Subtract 20 to both sides of the equation:

`\begin{gathered} 2x+20-20=28-20 \\ 2x=8 \end{gathered}`

And finally divide by 2 to reach the value of x:

`\begin{gathered} (2x)/(2)=(8)/(2) \\ x=4 \end{gathered}`

For this equation x=4