Solve 82=14+25(x-3)+38(x-18)

$$82 = 14 + 25 ( x - 3 ) + 38 ( x - 18 )$$

Solve for x

$$x = \frac{827}{63} = 13\frac{8}{63} \approx 13.126984127$$

Steps for Solving Linear Equation

Use the distributive property to multiply 25 by x-3.

$$82=14+25x-75+38\left(x-18\right)$$

Subtract 75 from 14 to get -61.

$$82=-61+25x+38\left(x-18\right)$$

Use the distributive property to multiply 38 by x-18.

$$82=-61+25x+38x-684$$

Combine 25x and 38x to get 63x.

$$82=-61+63x-684$$

Subtract 684 from -61 to get -745.

$$82=-745+63x$$

Swap sides so that all variable terms are on the left hand side.

$$-745+63x=82$$

Add 745 to both sides.

$$63x=82+745$$

Add 82 and 745 to get 827.

$$63x=827$$

Divide both sides by 63.

$$x=\frac{827}{63}$$