Solve 2a+3/3-3a-4/4=1

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

Solve for a

$$a=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(2a+3\right)-3\left(3a-4\right)=12$$

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

$$8a+12-3\left(3a-4\right)=12$$

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

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

Combine 8a and -9a to get -a.

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

Add 12 and 12 to get 24.

$$-a+24=12$$

Subtract 24 from both sides.

$$-a=12-24$$

Subtract 24 from 12 to get -12.

$$-a=-12$$

Multiply both sides by -1.

$$a=12$$