Solve 14+2.5(x-3)+3.8(x-15-3)=82

$$14+2.5(x-3)+3.8(x-15-3)=82$$

Solve for x

$$x = \frac{1439}{63} = 22\frac{53}{63} \approx 22.841269841$$

Steps for Solving Linear Equation

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

$$14+2.5x-7.5+3.8\left(x-15-3\right)=82$$

Subtract 7.5 from 14 to get 6.5.

$$6.5+2.5x+3.8\left(x-15-3\right)=82$$

Subtract 3 from -15 to get -18.

$$6.5+2.5x+3.8\left(x-18\right)=82$$

Use the distributive property to multiply 3.8 by x-18.

$$6.5+2.5x+3.8x-68.4=82$$

Combine 2.5x and 3.8x to get 6.3x.

$$6.5+6.3x-68.4=82$$

Subtract 68.4 from 6.5 to get -61.9.

$$-61.9+6.3x=82$$

Add 61.9 to both sides.

$$6.3x=82+61.9$$

Add 82 and 61.9 to get 143.9.

$$6.3x=143.9$$

Divide both sides by 6.3.

$$x=\frac{143.9}{6.3}$$

Expand \frac{143.9}{6.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{1439}{63}$$