Solve 12=-10h-(3h-35)

$$12 = - 10 h - ( 3 h - 35 )$$

Solve for h

$$h = \frac{23}{13} = 1\frac{10}{13} \approx 1.769230769$$

Steps for Solving Linear Equation

To find the opposite of 3h-35, find the opposite of each term.

$$12=-10h-3h-\left(-35\right)$$

The opposite of -35 is 35.

$$12=-10h-3h+35$$

Combine -10h and -3h to get -13h.

$$12=-13h+35$$

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

$$-13h+35=12$$

Subtract 35 from both sides.

$$-13h=12-35$$

Subtract 35 from 12 to get -23.

$$-13h=-23$$

Divide both sides by -13.

$$h=\frac{-23}{-13}$$

Fraction \frac{-23}{-13} can be simplified to \frac{23}{13} by removing the negative sign from both the numerator and the denominator.

$$h=\frac{23}{13}$$