Solve 0=11/12(x-11)-25/12

$$0 = \frac { 11 } { 12 } ( x - 11 ) - \frac { 25 } { 12 }$$

Solve for x

$$x = \frac{146}{11} = 13\frac{3}{11} \approx 13.272727273$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{11}{12} by x-11.

$$0=\frac{11}{12}x+\frac{11}{12}\left(-11\right)-\frac{25}{12}$$

Express \frac{11}{12}\left(-11\right) as a single fraction.

$$0=\frac{11}{12}x+\frac{11\left(-11\right)}{12}-\frac{25}{12}$$

Multiply 11 and -11 to get -121.

$$0=\frac{11}{12}x+\frac{-121}{12}-\frac{25}{12}$$

Fraction \frac{-121}{12} can be rewritten as -\frac{121}{12} by extracting the negative sign.

$$0=\frac{11}{12}x-\frac{121}{12}-\frac{25}{12}$$

Since -\frac{121}{12} and \frac{25}{12} have the same denominator, subtract them by subtracting their numerators.

$$0=\frac{11}{12}x+\frac{-121-25}{12}$$

Subtract 25 from -121 to get -146.

$$0=\frac{11}{12}x+\frac{-146}{12}$$

Reduce the fraction \frac{-146}{12} to lowest terms by extracting and canceling out 2.

$$0=\frac{11}{12}x-\frac{73}{6}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{11}{12}x-\frac{73}{6}=0$$

Add \frac{73}{6} to both sides. Anything plus zero gives itself.

$$\frac{11}{12}x=\frac{73}{6}$$

Multiply both sides by \frac{12}{11}, the reciprocal of \frac{11}{12}.

$$x=\frac{73}{6}\times \frac{12}{11}$$

Multiply \frac{73}{6} times \frac{12}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{73\times 12}{6\times 11}$$

Do the multiplications in the fraction \frac{73\times 12}{6\times 11}.

$$x=\frac{876}{66}$$

Reduce the fraction \frac{876}{66} to lowest terms by extracting and canceling out 6.

$$x=\frac{146}{11}$$