Solve 3x-2/3+4x-6/2=3x+5/4

$$\frac{ 3x-2 }{ 3 } + \frac{ 4x-6 }{ 2 } = \frac{ 3x+5 }{ 4 }$$

Solve for x

$$x = \frac{59}{27} = 2\frac{5}{27} \approx 2.185185185$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,2,4.

$$4\left(3x-2\right)+6\left(4x-6\right)=3\left(3x+5\right)$$

Use the distributive property to multiply 4 by 3x-2.

$$12x-8+6\left(4x-6\right)=3\left(3x+5\right)$$

Use the distributive property to multiply 6 by 4x-6.

$$12x-8+24x-36=3\left(3x+5\right)$$

Combine 12x and 24x to get 36x.

$$36x-8-36=3\left(3x+5\right)$$

Subtract 36 from -8 to get -44.

$$36x-44=3\left(3x+5\right)$$

Use the distributive property to multiply 3 by 3x+5.

$$36x-44=9x+15$$

Subtract 9x from both sides.

$$36x-44-9x=15$$

Combine 36x and -9x to get 27x.

$$27x-44=15$$

Add 44 to both sides.

$$27x=15+44$$

Add 15 and 44 to get 59.

$$27x=59$$

Divide both sides by 27.

$$x=\frac{59}{27}$$