Solve 5x-2=2/11-1/11x

$$5 x - 2 = \frac { 2 } { 11 } - \frac { 1 } { 11 } x$$

Solve for x

$$x=\frac{3}{7}\approx 0.428571429$$

Steps for Solving Linear Equation

Add \frac{1}{11}x to both sides.

$$5x-2+\frac{1}{11}x=\frac{2}{11}$$

Combine 5x and \frac{1}{11}x to get \frac{56}{11}x.

$$\frac{56}{11}x-2=\frac{2}{11}$$

Add 2 to both sides.

$$\frac{56}{11}x=\frac{2}{11}+2$$

Convert 2 to fraction \frac{22}{11}.

$$\frac{56}{11}x=\frac{2}{11}+\frac{22}{11}$$

Since \frac{2}{11} and \frac{22}{11} have the same denominator, add them by adding their numerators.

$$\frac{56}{11}x=\frac{2+22}{11}$$

Add 2 and 22 to get 24.

$$\frac{56}{11}x=\frac{24}{11}$$

Multiply both sides by \frac{11}{56}, the reciprocal of \frac{56}{11}.

$$x=\frac{24}{11}\times \frac{11}{56}$$

Multiply \frac{24}{11} times \frac{11}{56} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{24\times 11}{11\times 56}$$

Cancel out 11 in both numerator and denominator.

$$x=\frac{24}{56}$$

Reduce the fraction \frac{24}{56} to lowest terms by extracting and canceling out 8.

$$x=\frac{3}{7}$$