Solve 4.5(8-x)+36=102-2.5(3x+24)

$$4.5 ( 8 - x ) + 36 = 102 - 2.5 ( 3 x + 24 )$$

Solve for x

$$x=-10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4.5 by 8-x.

$$36-4.5x+36=102-2.5\left(3x+24\right)$$

Add 36 and 36 to get 72.

$$72-4.5x=102-2.5\left(3x+24\right)$$

Use the distributive property to multiply -2.5 by 3x+24.

$$72-4.5x=102-7.5x-60$$

Subtract 60 from 102 to get 42.

$$72-4.5x=42-7.5x$$

Add 7.5x to both sides.

$$72-4.5x+7.5x=42$$

Combine -4.5x and 7.5x to get 3x.

$$72+3x=42$$

Subtract 72 from both sides.

$$3x=42-72$$

Subtract 72 from 42 to get -30.

$$3x=-30$$

Divide both sides by 3.

$$x=\frac{-30}{3}$$

Divide -30 by 3 to get -10.

$$x=-10$$