Solve 2(5a-3)-a-4(3a-2)=0

$$2 ( 5 a - 3 ) - a - 4 ( 3 a - 2 ) = 0$$

Solve for a

$$a=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 5a-3.

$$10a-6-a-4\left(3a-2\right)=0$$

Combine 10a and -a to get 9a.

$$9a-6-4\left(3a-2\right)=0$$

Use the distributive property to multiply -4 by 3a-2.

$$9a-6-12a+8=0$$

Combine 9a and -12a to get -3a.

$$-3a-6+8=0$$

Add -6 and 8 to get 2.

$$-3a+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$-3a=-2$$

Divide both sides by -3.

$$a=\frac{-2}{-3}$$

Fraction \frac{-2}{-3} can be simplified to \frac{2}{3} by removing the negative sign from both the numerator and the denominator.

$$a=\frac{2}{3}$$