Solve 7x-7/3x+3*14x+14/6x-6

$$\frac { 7 x - 7 } { 3 x + 3 } \cdot \frac { 14 x + 14 } { 6 x - 6 }$$

Evaluate

$$\frac{49}{9}\approx 5.444444444$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{14x+14}{6x-6}.

$$\frac{7x-7}{3x+3}\times \frac{14\left(x+1\right)}{6\left(x-1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{7x-7}{3x+3}\times \frac{7\left(x+1\right)}{3\left(x-1\right)}$$

Multiply \frac{7x-7}{3x+3} times \frac{7\left(x+1\right)}{3\left(x-1\right)} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(7x-7\right)\times 7\left(x+1\right)}{\left(3x+3\right)\times 3\left(x-1\right)}$$

Factor the expressions that are not already factored.

$$\frac{7^{2}\left(x-1\right)\left(x+1\right)}{3^{2}\left(x-1\right)\left(x+1\right)}$$

Cancel out \left(x-1\right)\left(x+1\right) in both numerator and denominator.

$$\frac{7^{2}}{3^{2}}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{49}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{49}{9}$$

Factor

$$\frac{7 ^ {2}}{3 ^ {2}} = 5\frac{4}{9} = 5.444444444444445$$