Solve for: (1)/(3)x-x=(1)/(4)x+1

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Expression: $\frac{ 1 }{ 3 }x-x=\frac{ 1 }{ 4 }x+1$

Calculate the difference

$-\frac{ 2 }{ 3 }x=\frac{ 1 }{ 4 }x+1$

Move the expression to the left-hand side and change its sign

$-\frac{ 2 }{ 3 }x-\frac{ 1 }{ 4 }x=1$

Calculate the difference

$-\frac{ 11 }{ 12 }x=1$

Multiply both sides of the equation by $-\frac{ 12 }{ 11 }$

$\begin{align*}&x=-\frac{ 12 }{ 11 } \\&\begin{array} { l }x=-1 \frac{ 1 }{ 11 },& x=-1.\overset{ \cdot }{ 0 } \overset{ \cdot }{ 9 } \end{array}\end{align*}$

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