Solve (5a-2/3)-2(3-a)=0

$$( 5 a - \frac { 2 } { 3 } ) - 2 ( 3 - a ) = 0$$

Solve for a

$$a=\frac{20}{21}\approx 0.952380952$$

Steps for Solving Linear Equation

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

$$5a-\frac{2}{3}-6+2a=0$$

Convert 6 to fraction \frac{18}{3}.

$$5a-\frac{2}{3}-\frac{18}{3}+2a=0$$

Since -\frac{2}{3} and \frac{18}{3} have the same denominator, subtract them by subtracting their numerators.

$$5a+\frac{-2-18}{3}+2a=0$$

Subtract 18 from -2 to get -20.

$$5a-\frac{20}{3}+2a=0$$

Combine 5a and 2a to get 7a.

$$7a-\frac{20}{3}=0$$

Add \frac{20}{3} to both sides. Anything plus zero gives itself.

$$7a=\frac{20}{3}$$

Divide both sides by 7.

$$a=\frac{\frac{20}{3}}{7}$$

Express \frac{\frac{20}{3}}{7} as a single fraction.

$$a=\frac{20}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$a=\frac{20}{21}$$