Solve 5(1.029*12)(38*12)^4/384(29000)x=38*12/240

$$\frac { 5 ( 1.029 \times 12 ) ( 38 \times 12 ) ^ { 4 } } { 384 ( 29000 ) x } = \frac { 38 \times 12 } { 240 }$$

Solve for x

$$x = \frac{2286763164}{18125} = 126166\frac{4414}{18125} \approx 126166.243531034$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 11136000x, the least common multiple of 384\times 29000x,240.

$$5\times 1.029\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Multiply 5 and 1.029 to get 5.145.

$$5.145\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Multiply 5.145 and 12 to get 61.74.

$$61.74\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Multiply 38 and 12 to get 456.

$$61.74\times 456^{4}=46400x\times 38\times 12$$

Calculate 456 to the power of 4 and get 43237380096.

$$61.74\times 43237380096=46400x\times 38\times 12$$

Multiply 61.74 and 43237380096 to get 2669475847127.04.

$$2669475847127.04=46400x\times 38\times 12$$

Multiply 46400 and 38 to get 1763200.

$$2669475847127.04=1763200x\times 12$$

Multiply 1763200 and 12 to get 21158400.

$$2669475847127.04=21158400x$$

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

$$21158400x=2669475847127.04$$

Divide both sides by 21158400.

$$x=\frac{2669475847127.04}{21158400}$$

Expand \frac{2669475847127.04}{21158400} by multiplying both numerator and the denominator by 100.

$$x=\frac{266947584712704}{2115840000}$$

Reduce the fraction \frac{266947584712704}{2115840000} to lowest terms by extracting and canceling out 116736.

$$x=\frac{2286763164}{18125}$$