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

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

Solve for x

$$x = \frac{31}{12} = 2\frac{7}{12} \approx 2.583333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4,2.

$$2\left(3x-2\right)-60=9-6\left(x+7\right)$$

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

$$6x-4-60=9-6\left(x+7\right)$$

Subtract 60 from -4 to get -64.

$$6x-64=9-6\left(x+7\right)$$

Use the distributive property to multiply -6 by x+7.

$$6x-64=9-6x-42$$

Subtract 42 from 9 to get -33.

$$6x-64=-33-6x$$

Add 6x to both sides.

$$6x-64+6x=-33$$

Combine 6x and 6x to get 12x.

$$12x-64=-33$$

Add 64 to both sides.

$$12x=-33+64$$

Add -33 and 64 to get 31.

$$12x=31$$

Divide both sides by 12.

$$x=\frac{31}{12}$$