Solve b-1/3-2b-2/5=1/2

$$\frac { b - 1 } { 3 } - \frac { 2 b - 2 } { 5 } = \frac { 1 } { 2 }$$

Solve for b

$$b = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 3,5,2.

$$10\left(b-1\right)-6\left(2b-2\right)=15$$

Use the distributive property to multiply 10 by b-1.

$$10b-10-6\left(2b-2\right)=15$$

Use the distributive property to multiply -6 by 2b-2.

$$10b-10-12b+12=15$$

Combine 10b and -12b to get -2b.

$$-2b-10+12=15$$

Add -10 and 12 to get 2.

$$-2b+2=15$$

Subtract 2 from both sides.

$$-2b=15-2$$

Subtract 2 from 15 to get 13.

$$-2b=13$$

Divide both sides by -2.

$$b=\frac{13}{-2}$$

Fraction \frac{13}{-2} can be rewritten as -\frac{13}{2} by extracting the negative sign.

$$b=-\frac{13}{2}$$