Solve 4200+108(x-3)=5400+96(x-45)

$$4200 + 108 ( x - 3 ) = 5400 + 96 ( x - 45 )$$

Solve for x

$$x=-233$$

Steps for Solving Linear Equation

Use the distributive property to multiply 108 by x-3.

$$4200+108x-324=5400+96\left(x-45\right)$$

Subtract 324 from 4200 to get 3876.

$$3876+108x=5400+96\left(x-45\right)$$

Use the distributive property to multiply 96 by x-45.

$$3876+108x=5400+96x-4320$$

Subtract 4320 from 5400 to get 1080.

$$3876+108x=1080+96x$$

Subtract 96x from both sides.

$$3876+108x-96x=1080$$

Combine 108x and -96x to get 12x.

$$3876+12x=1080$$

Subtract 3876 from both sides.

$$12x=1080-3876$$

Subtract 3876 from 1080 to get -2796.

$$12x=-2796$$

Divide both sides by 12.

$$x=\frac{-2796}{12}$$

Divide -2796 by 12 to get -233.

$$x=-233$$