Solve 10=-1/2-12+b

$$10 = \frac{ -1 }{ 2 } -12+b$$

Solve for b

$$b = \frac{45}{2} = 22\frac{1}{2} = 22.5$$

Steps for Solving Linear Equation

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$10=-\frac{1}{2}-12+b$$

Convert 12 to fraction \frac{24}{2}.

$$10=-\frac{1}{2}-\frac{24}{2}+b$$

Since -\frac{1}{2} and \frac{24}{2} have the same denominator, subtract them by subtracting their numerators.

$$10=\frac{-1-24}{2}+b$$

Subtract 24 from -1 to get -25.

$$10=-\frac{25}{2}+b$$

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

$$-\frac{25}{2}+b=10$$

Add \frac{25}{2} to both sides.

$$b=10+\frac{25}{2}$$

Convert 10 to fraction \frac{20}{2}.

$$b=\frac{20}{2}+\frac{25}{2}$$

Since \frac{20}{2} and \frac{25}{2} have the same denominator, add them by adding their numerators.

$$b=\frac{20+25}{2}$$

Add 20 and 25 to get 45.

$$b=\frac{45}{2}$$