Solve 82=14+2.5*12+3.8(x-15)

$$82=14+2.5 \times 12+3.8(x-15)$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Multiply 2.5 and 12 to get 30.

$$82=14+30+3.8\left(x-15\right)$$

Add 14 and 30 to get 44.

$$82=44+3.8\left(x-15\right)$$

Use the distributive property to multiply 3.8 by x-15.

$$82=44+3.8x-57$$

Subtract 57 from 44 to get -13.

$$82=-13+3.8x$$

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

$$-13+3.8x=82$$

Add 13 to both sides.

$$3.8x=82+13$$

Add 82 and 13 to get 95.

$$3.8x=95$$

Divide both sides by 3.8.

$$x=\frac{95}{3.8}$$

Expand \frac{95}{3.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{950}{38}$$

Divide 950 by 38 to get 25.

$$x=25$$