Respuesta :

texaschic101
1/4 + 1/2 + x = -3/4....multiply everything by the common denominator of 4 to get rid of the fractions.

1 + 2 + 4x = -3
3 + 4x = -3
4x = -3 - 3
4x = -6
x = -6/4 which reduces to - 3/2 or - 1 1/2

Answer:

[tex]x=-\frac{3}{2}[/tex]

Step-by-step explanation:

We have been given an equation [tex]\frac{1}{4}+\frac{1}{2}+x=-\frac{3}{4}[/tex]. We are asked to solve for x.

Let us make common denominator as:

[tex]\frac{1}{4}+\frac{1*2}{2*2}+x=-\frac{3}{4}[/tex]

[tex]\frac{1}{4}+\frac{2}{4}+x=-\frac{3}{4}[/tex]

Add numerators:

[tex]\frac{1+2}{4}+x=-\frac{3}{4}[/tex]

[tex]\frac{3}{4}+x=-\frac{3}{4}[/tex]

[tex]\frac{3}{4}-\frac{3}{4}+x=-\frac{3}{4}-\frac{3}{4}[/tex]

[tex]x=\frac{-3-3}{4}[/tex]

[tex]x=\frac{-6}{4}[/tex]

[tex]x=-\frac{3}{2}[/tex]

Therefore, the value of x is [tex]-\frac{3}{2}[/tex].