Solve 3x=2/4x+6

$$3 x = \frac { 2 } { 4 } x + 6$$

Solve for x

$$x = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$3x=\frac{1}{2}x+6$$

Subtract \frac{1}{2}x from both sides.

$$3x-\frac{1}{2}x=6$$

Combine 3x and -\frac{1}{2}x to get \frac{5}{2}x.

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

Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.

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

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

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

Multiply 6 and 2 to get 12.

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