Solve 5(1029*12)(38*12)^4/384(29000)x=38*12/240

$$\frac { 5 ( 1029 \times 12 ) ( 38 \times 12 ) ^ { 4 } } { 384 ( 29000 ) x } = \frac { 38 \times 12 } { 240 }$$

Solve for x

$$x = \frac{18294105312}{145} = 126166243\frac{77}{145} \approx 126166243.531034483$$

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.

$$5\times 1029\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Multiply 5 and 1029 to get 5145.

$$5145\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Multiply 5145 and 12 to get 61740.

$$61740\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Multiply 38 and 12 to get 456.

$$61740\times 456^{4}=46400x\times 38\times 12$$

Calculate 456 to the power of 4 and get 43237380096.

$$61740\times 43237380096=46400x\times 38\times 12$$

Multiply 61740 and 43237380096 to get 2669475847127040.

$$2669475847127040=46400x\times 38\times 12$$

Multiply 46400 and 38 to get 1763200.

$$2669475847127040=1763200x\times 12$$

Multiply 1763200 and 12 to get 21158400.

$$2669475847127040=21158400x$$

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

$$21158400x=2669475847127040$$

Divide both sides by 21158400.

$$x=\frac{2669475847127040}{21158400}$$

Reduce the fraction \frac{2669475847127040}{21158400} to lowest terms by extracting and canceling out 145920.

$$x=\frac{18294105312}{145}$$