Solve 2a-1/4-1=5a-7/6

$$\frac { 2 a - 1 } { 4 } - 1 = \frac { 5 a - 7 } { 6 }$$

Solve for a

$$a=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

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

$$3\left(2a-1\right)-12=2\left(5a-7\right)$$

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

$$6a-3-12=2\left(5a-7\right)$$

Subtract 12 from -3 to get -15.

$$6a-15=2\left(5a-7\right)$$

Use the distributive property to multiply 2 by 5a-7.

$$6a-15=10a-14$$

Subtract 10a from both sides.

$$6a-15-10a=-14$$

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

$$-4a-15=-14$$

Add 15 to both sides.

$$-4a=-14+15$$

Add -14 and 15 to get 1.

$$-4a=1$$

Divide both sides by -4.

$$a=\frac{1}{-4}$$

Fraction \frac{1}{-4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$a=-\frac{1}{4}$$