Solve 6:x=11/5:50%

$$6 : x = 1 \frac { 1 } { 5 } : 50 \%$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

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.

$$6=2x\times \frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$6=2x\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$6=2x\times \frac{6}{5}$$

Express 2\times \frac{6}{5} as a single fraction.

$$6=\frac{2\times 6}{5}x$$

Multiply 2 and 6 to get 12.

$$6=\frac{12}{5}x$$

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

$$\frac{12}{5}x=6$$

Multiply both sides by \frac{5}{12}, the reciprocal of \frac{12}{5}.

$$x=6\times \frac{5}{12}$$

Express 6\times \frac{5}{12} as a single fraction.

$$x=\frac{6\times 5}{12}$$

Multiply 6 and 5 to get 30.

$$x=\frac{30}{12}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

$$x=\frac{5}{2}$$