Solve 3x+5/2-4x-5/3=7x+1/6

$$\frac{ 3x+5 }{ 2 } - \frac{ 4x-5 }{ 3 } = \frac{ 7x+1 }{ 6 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3,6.

$$3\left(3x+5\right)-2\left(4x-5\right)=7x+1$$

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

$$9x+15-2\left(4x-5\right)=7x+1$$

Use the distributive property to multiply -2 by 4x-5.

$$9x+15-8x+10=7x+1$$

Combine 9x and -8x to get x.

$$x+15+10=7x+1$$

Add 15 and 10 to get 25.

$$x+25=7x+1$$

Subtract 7x from both sides.

$$x+25-7x=1$$

Combine x and -7x to get -6x.

$$-6x+25=1$$

Subtract 25 from both sides.

$$-6x=1-25$$

Subtract 25 from 1 to get -24.

$$-6x=-24$$

Divide both sides by -6.

$$x=\frac{-24}{-6}$$

Divide -24 by -6 to get 4.

$$x=4$$