Solve a-(a-1/2)=1-(a-2)/3

$$a - ( \frac { a - 1 } { 2 } ) = 1 - \frac { ( a - 2 ) } { 3 }$$

Solve for a

$$a = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$6a-3\left(a-1\right)=6-2\left(a-2\right)$$

Use the distributive property to multiply -3 by a-1.

$$6a-3a+3=6-2\left(a-2\right)$$

Combine 6a and -3a to get 3a.

$$3a+3=6-2\left(a-2\right)$$

Use the distributive property to multiply -2 by a-2.

$$3a+3=6-2a+4$$

Add 6 and 4 to get 10.

$$3a+3=10-2a$$

Add 2a to both sides.

$$3a+3+2a=10$$

Combine 3a and 2a to get 5a.

$$5a+3=10$$

Subtract 3 from both sides.

$$5a=10-3$$

Subtract 3 from 10 to get 7.

$$5a=7$$

Divide both sides by 5.

$$a=\frac{7}{5}$$