Solve -3a+2/5+a=3/10(3-a)

$$\frac { - 3 a + 2 } { 5 } + a = \frac { 3 } { 10 } ( 3 - a )$$

Solve for a

$$a=\frac{5}{7}\approx 0.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10.

$$2\left(-3a+2\right)+10a=3\left(3-a\right)$$

Use the distributive property to multiply 2 by -3a+2.

$$-6a+4+10a=3\left(3-a\right)$$

Combine -6a and 10a to get 4a.

$$4a+4=3\left(3-a\right)$$

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

$$4a+4=9-3a$$

Add 3a to both sides.

$$4a+4+3a=9$$

Combine 4a and 3a to get 7a.

$$7a+4=9$$

Subtract 4 from both sides.

$$7a=9-4$$

Subtract 4 from 9 to get 5.

$$7a=5$$

Divide both sides by 7.

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