Solve -5(-6+4(-6(-7+4)x+5)+4)/-7+4-6(-x(-5(-6+9)+3))

$$\frac{ -5(-6+4(-6(-7+4)x+5)+4) }{ -7+4-6(-x(-5(-6+9)+3)) }$$

Evaluate

$$\frac{30\left(4x+1\right)}{24x+1}$$

Short Solution Steps

Add -7 and 4 to get -3.

$$\frac{-5\left(-6+4\left(-6\left(-3\right)x+5\right)+4\right)}{-7+4-6\left(-x\right)\left(-5\left(-6+9\right)+3\right)}$$

Multiply -6 and -3 to get 18.

$$\frac{-5\left(-6+4\left(18x+5\right)+4\right)}{-7+4-6\left(-x\right)\left(-5\left(-6+9\right)+3\right)}$$

Add -6 and 4 to get -2.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-7+4-6\left(-x\right)\left(-5\left(-6+9\right)+3\right)}$$

Add -7 and 4 to get -3.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-6\left(-x\right)\left(-5\left(-6+9\right)+3\right)}$$

Add -6 and 9 to get 3.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-6\left(-x\right)\left(-5\times 3+3\right)}$$

Multiply -5 and 3 to get -15.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-6\left(-x\right)\left(-15+3\right)}$$

Add -15 and 3 to get -12.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-6\left(-x\right)\left(-12\right)}$$

Multiply 6 and -12 to get -72.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-\left(-72\left(-x\right)\right)}$$

Multiply -72 and -1 to get 72.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-72x}$$

Factor the expressions that are not already factored.

$$\frac{-5\times 2\times 9\left(4x+1\right)}{3\left(-24x-1\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-5\times 2\times 3\left(4x+1\right)}{-24x-1}$$

Expand the expression.

$$\frac{-120x-30}{-24x-1}$$

Expand

$$\frac{30\left(4x+1\right)}{24x+1}$$

Short Solution Steps

Add -7 and 4 to get -3.

$$\frac{-5\left(-6+4\left(-6\left(-3\right)x+5\right)+4\right)}{-7+4-6\left(-x\right)\left(-5\left(-6+9\right)+3\right)}$$

Multiply -6 and -3 to get 18.

$$\frac{-5\left(-6+4\left(18x+5\right)+4\right)}{-7+4-6\left(-x\right)\left(-5\left(-6+9\right)+3\right)}$$

Add -6 and 4 to get -2.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-7+4-6\left(-x\right)\left(-5\left(-6+9\right)+3\right)}$$

Add -7 and 4 to get -3.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-6\left(-x\right)\left(-5\left(-6+9\right)+3\right)}$$

Add -6 and 9 to get 3.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-6\left(-x\right)\left(-5\times 3+3\right)}$$

Multiply -5 and 3 to get -15.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-6\left(-x\right)\left(-15+3\right)}$$

Add -15 and 3 to get -12.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-6\left(-x\right)\left(-12\right)}$$

Multiply 6 and -12 to get -72.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-\left(-72\left(-x\right)\right)}$$

Multiply -72 and -1 to get 72.

$$\frac{-5\left(-2+4\left(18x+5\right)\right)}{-3-72x}$$

Factor the expressions that are not already factored.

$$\frac{-5\times 2\times 9\left(4x+1\right)}{3\left(-24x-1\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-5\times 2\times 3\left(4x+1\right)}{-24x-1}$$

Expand the expression.

$$\frac{-120x-30}{-24x-1}$$