Solve 5*8/x=5,5/2*8

$$\frac { 5 \cdot 8 } { x } = \frac { 5,5 } { 2 \cdot 8 }$$

Solve for x

$$x=\frac{1280}{11}\approx 116,363636364$$

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 x.

$$5\times 8=\frac{1}{16}x\times 5,5$$

Multiply 5 and 8 to get 40.

$$40=\frac{1}{16}x\times 5,5$$

Convert decimal number 5,5 to fraction \frac{55}{10}. Reduce the fraction \frac{55}{10} to lowest terms by extracting and canceling out 5.

$$40=\frac{1}{16}x\times \frac{11}{2}$$

Multiply \frac{1}{16} times \frac{11}{2} by multiplying numerator times numerator and denominator times denominator.

$$40=\frac{1\times 11}{16\times 2}x$$

Do the multiplications in the fraction \frac{1\times 11}{16\times 2}.

$$40=\frac{11}{32}x$$

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

$$\frac{11}{32}x=40$$

Multiply both sides by \frac{32}{11}, the reciprocal of \frac{11}{32}.

$$x=40\times \frac{32}{11}$$

Express 40\times \frac{32}{11} as a single fraction.

$$x=\frac{40\times 32}{11}$$

Multiply 40 and 32 to get 1280.

$$x=\frac{1280}{11}$$