Solve 24+24x+24+6(x-3)=8x-(5x-3)+36x

$$24+24x+24+6(x-3)=8x-(5x-3)+36x$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Add 24 and 24 to get 48.

$$48+24x+6\left(x-3\right)=8x-\left(5x-3\right)+36x$$

Use the distributive property to multiply 6 by x-3.

$$48+24x+6x-18=8x-\left(5x-3\right)+36x$$

Combine 24x and 6x to get 30x.

$$48+30x-18=8x-\left(5x-3\right)+36x$$

Subtract 18 from 48 to get 30.

$$30+30x=8x-\left(5x-3\right)+36x$$

To find the opposite of 5x-3, find the opposite of each term.

$$30+30x=8x-5x-\left(-3\right)+36x$$

The opposite of -3 is 3.

$$30+30x=8x-5x+3+36x$$

Combine 8x and -5x to get 3x.

$$30+30x=3x+3+36x$$

Combine 3x and 36x to get 39x.

$$30+30x=39x+3$$

Subtract 39x from both sides.

$$30+30x-39x=3$$

Combine 30x and -39x to get -9x.

$$30-9x=3$$

Subtract 30 from both sides.

$$-9x=3-30$$

Subtract 30 from 3 to get -27.

$$-9x=-27$$

Divide both sides by -9.

$$x=\frac{-27}{-9}$$

Divide -27 by -9 to get 3.

$$x=3$$