Solve 240h-[24-(6h+8)-(5-2h)]=3-(8h-12)

$$240 h - [ 24 - ( 6 h + 8 ) - ( 5 - 2 h ) ] = 3 - ( 8 h - 12 )$$

Solve for h

$$h=\frac{13}{126}\approx 0.103174603$$

Steps for Solving Linear Equation

To find the opposite of 6h+8, find the opposite of each term.

$$240h-\left(24-6h-8-\left(5-2h\right)\right)=3-\left(8h-12\right)$$

Subtract 8 from 24 to get 16.

$$240h-\left(16-6h-\left(5-2h\right)\right)=3-\left(8h-12\right)$$

To find the opposite of 5-2h, find the opposite of each term.

$$240h-\left(16-6h-5-\left(-2h\right)\right)=3-\left(8h-12\right)$$

The opposite of -2h is 2h.

$$240h-\left(16-6h-5+2h\right)=3-\left(8h-12\right)$$

Subtract 5 from 16 to get 11.

$$240h-\left(11-6h+2h\right)=3-\left(8h-12\right)$$

Combine -6h and 2h to get -4h.

$$240h-\left(11-4h\right)=3-\left(8h-12\right)$$

To find the opposite of 11-4h, find the opposite of each term.

$$240h-11-\left(-4h\right)=3-\left(8h-12\right)$$

The opposite of -4h is 4h.

$$240h-11+4h=3-\left(8h-12\right)$$

Combine 240h and 4h to get 244h.

$$244h-11=3-\left(8h-12\right)$$

To find the opposite of 8h-12, find the opposite of each term.

$$244h-11=3-8h-\left(-12\right)$$

The opposite of -12 is 12.

$$244h-11=3-8h+12$$

Add 3 and 12 to get 15.

$$244h-11=15-8h$$

Add 8h to both sides.

$$244h-11+8h=15$$

Combine 244h and 8h to get 252h.

$$252h-11=15$$

Add 11 to both sides.

$$252h=15+11$$

Add 15 and 11 to get 26.

$$252h=26$$

Divide both sides by 252.

$$h=\frac{26}{252}$$

Reduce the fraction \frac{26}{252} to lowest terms by extracting and canceling out 2.

$$h=\frac{13}{126}$$