Solve -1-3a-a/4=2a-5/6

$$- 1 - \frac { 3 a - a } { 4 } = \frac { 2 a - 5 } { 6 }$$

Solve for a

$$a=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$-12-3\left(3a-a\right)=2\left(2a-5\right)$$

Combine 3a and -a to get 2a.

$$-12-3\times 2a=2\left(2a-5\right)$$

Multiply -3 and 2 to get -6.

$$-12-6a=2\left(2a-5\right)$$

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

$$-12-6a=4a-10$$

Subtract 4a from both sides.

$$-12-6a-4a=-10$$

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

$$-12-10a=-10$$

Add 12 to both sides.

$$-10a=-10+12$$

Add -10 and 12 to get 2.

$$-10a=2$$

Divide both sides by -10.

$$a=\frac{2}{-10}$$

Reduce the fraction \frac{2}{-10} to lowest terms by extracting and canceling out 2.

$$a=-\frac{1}{5}$$