Solve 7(x-1)/4x-12*2x-6/3x-3=

$$\frac { 7 ( x - 1 ) } { 4 x - 12 } \cdot \frac { 2 x - 6 } { 3 x - 3 } =$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Short Solution Steps

Use the distributive property to multiply 7 by x-1.

$$\frac{7x-7}{4x-12}\times \frac{2x-6}{3x-3}$$

Multiply \frac{7x-7}{4x-12} times \frac{2x-6}{3x-3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(7x-7\right)\left(2x-6\right)}{\left(4x-12\right)\left(3x-3\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\times 7\left(x-3\right)\left(x-1\right)}{3\times 4\left(x-3\right)\left(x-1\right)}$$

Cancel out 2\left(x-3\right)\left(x-1\right) in both numerator and denominator.

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

Multiply 2 and 3 to get 6.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$