Solve 24-(3x+12)=6*(2x+12)

$$24 - ( 3 x + 12 ) = 6 \cdot ( 2 x + 12 )$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

To find the opposite of 3x+12, find the opposite of each term.

$$24-3x-12=6\left(2x+12\right)$$

Subtract 12 from 24 to get 12.

$$12-3x=6\left(2x+12\right)$$

Use the distributive property to multiply 6 by 2x+12.

$$12-3x=12x+72$$

Subtract 12x from both sides.

$$12-3x-12x=72$$

Combine -3x and -12x to get -15x.

$$12-15x=72$$

Subtract 12 from both sides.

$$-15x=72-12$$

Subtract 12 from 72 to get 60.

$$-15x=60$$

Divide both sides by -15.

$$x=\frac{60}{-15}$$

Divide 60 by -15 to get -4.

$$x=-4$$