Solve 4a-3(2a+1)=5(2a-1)-3(3a

$$4 a - 3 ( 2 a + 1 ) = 5 ( 2 a - 1 ) - 3 ( 3 a$$

Solve for a

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

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2a+1.

$$4a-6a-3=5\left(2a-1\right)-3\times 3a$$

Combine 4a and -6a to get -2a.

$$-2a-3=5\left(2a-1\right)-3\times 3a$$

Use the distributive property to multiply 5 by 2a-1.

$$-2a-3=10a-5-3\times 3a$$

Multiply 3 and 3 to get 9.

$$-2a-3=10a-5-9a$$

Combine 10a and -9a to get a.

$$-2a-3=a-5$$

Subtract a from both sides.

$$-2a-3-a=-5$$

Combine -2a and -a to get -3a.

$$-3a-3=-5$$

Add 3 to both sides.

$$-3a=-5+3$$

Add -5 and 3 to get -2.

$$-3a=-2$$

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.

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