Solve 3x-24/16-3x-12/12=4

$$\frac { 3 x - 24 } { 16 } - \frac { 3 x - 12 } { 12 } = 4$$

Solve for x

$$x=-72$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 48, the least common multiple of 16,12.

$$3\left(3x-24\right)-4\left(3x-12\right)=192$$

Use the distributive property to multiply 3 by 3x-24.

$$9x-72-4\left(3x-12\right)=192$$

Use the distributive property to multiply -4 by 3x-12.

$$9x-72-12x+48=192$$

Combine 9x and -12x to get -3x.

$$-3x-72+48=192$$

Add -72 and 48 to get -24.

$$-3x-24=192$$

Add 24 to both sides.

$$-3x=192+24$$

Add 192 and 24 to get 216.

$$-3x=216$$

Divide both sides by -3.

$$x=\frac{216}{-3}$$

Divide 216 by -3 to get -72.

$$x=-72$$