Question

1/2 (x-14) + 11= 1/2 x - (x - 4)

What is the value of x ?

–1
–1/2
0
1/2

Answer 1

\[\frac{ 1 }{ 2 }(x-14)+11=\frac{ 1 }{ 2}x-x\]
\[\frac{ x-14 }{ 2}+11=\frac{ 1 }{ 2 }x-x+4\]
\[\frac{ x-14 }{ 2}+11=\frac{ x }{ 2 }-x+4\]
\[\frac{ x-14 }{ 2}+11=4-\frac{ x }{ 2 }\]
\[x-14+22=8-x\]
\[x+8=8-x\]
\[x=-x\]
\[x+x=0\]
\[2x=0\]

Divide both sides by 2 and get your answer :)