Solve 18-3(x+1.2)=2.5x-(x+3.6)

$$18-3(x+1.2)=2.5x-(x+3.6)$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x+1.2.

$$18-3x-3.6=2.5x-\left(x+3.6\right)$$

Subtract 3.6 from 18 to get 14.4.

$$14.4-3x=2.5x-\left(x+3.6\right)$$

To find the opposite of x+3.6, find the opposite of each term.

$$14.4-3x=2.5x-x-3.6$$

Combine 2.5x and -x to get 1.5x.

$$14.4-3x=1.5x-3.6$$

Subtract 1.5x from both sides.

$$14.4-3x-1.5x=-3.6$$

Combine -3x and -1.5x to get -4.5x.

$$14.4-4.5x=-3.6$$

Subtract 14.4 from both sides.

$$-4.5x=-3.6-14.4$$

Subtract 14.4 from -3.6 to get -18.

$$-4.5x=-18$$

Divide both sides by -4.5.

$$x=\frac{-18}{-4.5}$$

Expand \frac{-18}{-4.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-180}{-45}$$

Divide -180 by -45 to get 4.

$$x=4$$