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

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

Solve for x

$$x=7.75$$

Steps for Solving Linear Equation

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

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

Subtract 3.6 from 18 to get 14.4.

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

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

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

Subtract 3.6 from 2.5 to get -1.1.

$$14.4-3x=-1.1-x$$

Add x to both sides.

$$14.4-3x+x=-1.1$$

Combine -3x and x to get -2x.

$$14.4-2x=-1.1$$

Subtract 14.4 from both sides.

$$-2x=-1.1-14.4$$

Subtract 14.4 from -1.1 to get -15.5.

$$-2x=-15.5$$

Divide both sides by -2.

$$x=\frac{-15.5}{-2}$$

Expand \frac{-15.5}{-2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-155}{-20}$$

Reduce the fraction \frac{-155}{-20} to lowest terms by extracting and canceling out -5.

$$x=\frac{31}{4}$$