Solve 82=14+25*12+38(x-15)

$$82=14+25 \times 12+38(x-15)$$

Solve for x

$$x = \frac{169}{19} = 8\frac{17}{19} \approx 8.894736842$$

Steps for Solving Linear Equation

Multiply 25 and 12 to get 300.

$$82=14+300+38\left(x-15\right)$$

Add 14 and 300 to get 314.

$$82=314+38\left(x-15\right)$$

Use the distributive property to multiply 38 by x-15.

$$82=314+38x-570$$

Subtract 570 from 314 to get -256.

$$82=-256+38x$$

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

$$-256+38x=82$$

Add 256 to both sides.

$$38x=82+256$$

Add 82 and 256 to get 338.

$$38x=338$$

Divide both sides by 38.

$$x=\frac{338}{38}$$

Reduce the fraction \frac{338}{38} to lowest terms by extracting and canceling out 2.

$$x=\frac{169}{19}$$