Solve 5a-(4a+5a-4)=4a-12/3

$$5 a - ( 4 a + 5 a - 4 ) = \frac { 4 a - 12 } { 3 }$$

Solve for a

$$a = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$15a-3\left(4a+5a-4\right)=4a-12$$

Combine 4a and 5a to get 9a.

$$15a-3\left(9a-4\right)=4a-12$$

Use the distributive property to multiply -3 by 9a-4.

$$15a-27a+12=4a-12$$

Combine 15a and -27a to get -12a.

$$-12a+12=4a-12$$

Subtract 4a from both sides.

$$-12a+12-4a=-12$$

Combine -12a and -4a to get -16a.

$$-16a+12=-12$$

Subtract 12 from both sides.

$$-16a=-12-12$$

Subtract 12 from -12 to get -24.

$$-16a=-24$$

Divide both sides by -16.

$$a=\frac{-24}{-16}$$

Reduce the fraction \frac{-24}{-16} to lowest terms by extracting and canceling out -8.

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