Solve 12/7,6=5x/3,8

$$\frac { 12 } { 7,6 } = \frac { 5 x } { 3,8 }$$

Solve for x

$$x=1,2$$

Steps for Solving Linear Equation

Expand \frac{12}{7,6} by multiplying both numerator and the denominator by 10.

$$\frac{120}{76}=\frac{5x}{3,8}$$

Reduce the fraction \frac{120}{76} to lowest terms by extracting and canceling out 4.

$$\frac{30}{19}=\frac{5x}{3,8}$$

Divide 5x by 3,8 to get \frac{25}{19}x.

$$\frac{30}{19}=\frac{25}{19}x$$

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

$$\frac{25}{19}x=\frac{30}{19}$$

Divide both sides by \frac{25}{19}.

$$x=\frac{\frac{30}{19}}{\frac{25}{19}}$$

Express \frac{\frac{30}{19}}{\frac{25}{19}} as a single fraction.

$$x=\frac{30}{19\times \frac{25}{19}}$$

Multiply 19 and \frac{25}{19} to get 25.

$$x=\frac{30}{25}$$

Reduce the fraction \frac{30}{25} to lowest terms by extracting and canceling out 5.

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