Respuesta :

Given the expression

[tex]4(x+3)-2x+8=28[/tex]

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.

[tex]\begin{gathered} (4\cdot x)+(4\cdot3)-2x+8=28 \\ 4x+12-2x+8=28 \end{gathered}[/tex]

Next order the alike terms toghether and calculate:

[tex]\begin{gathered} 4x-2x+12+8=28 \\ 2x+20=28 \end{gathered}[/tex]

Subtract 20 to both sides of the equation:

[tex]\begin{gathered} 2x+20-20=28-20 \\ 2x=8 \end{gathered}[/tex]

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

[tex]\begin{gathered} \frac{2x}{2}=\frac{8}{2} \\ x=4 \end{gathered}[/tex]

For this equation x=4