Solve x/3+12=3x/4

$$\frac { x } { 3 } + 12 = \frac { 3 x } { 4 }$$

Solve for x

$$x = \frac{144}{5} = 28\frac{4}{5} = 28.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4x+144=3\times 3x$$

Multiply 3 and 3 to get 9.

$$4x+144=9x$$

Subtract 9x from both sides.

$$4x+144-9x=0$$

Combine 4x and -9x to get -5x.

$$-5x+144=0$$

Subtract 144 from both sides. Anything subtracted from zero gives its negation.

$$-5x=-144$$

Divide both sides by -5.

$$x=\frac{-144}{-5}$$

Fraction \frac{-144}{-5} can be simplified to \frac{144}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{144}{5}$$