Solve 18-3(x+12)=25x-(x+36)

$$18-3(x+12)=25x-(x+36)$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

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

$$18-3x-36=25x-\left(x+36\right)$$

Subtract 36 from 18 to get -18.

$$-18-3x=25x-\left(x+36\right)$$

To find the opposite of x+36, find the opposite of each term.

$$-18-3x=25x-x-36$$

Combine 25x and -x to get 24x.

$$-18-3x=24x-36$$

Subtract 24x from both sides.

$$-18-3x-24x=-36$$

Combine -3x and -24x to get -27x.

$$-18-27x=-36$$

Add 18 to both sides.

$$-27x=-36+18$$

Add -36 and 18 to get -18.

$$-27x=-18$$

Divide both sides by -27.

$$x=\frac{-18}{-27}$$

Reduce the fraction \frac{-18}{-27} to lowest terms by extracting and canceling out -9.

$$x=\frac{2}{3}$$