Solve 3x/2+1/2+3=8x/5-6/5

$$\frac { 3 x } { 2 } + \frac { 1 } { 2 } + 3 = \frac { 8 x } { 5 } - \frac { 6 } { 5 }$$

Solve for x

$$x=47$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$5\times 3x+5+30=2\times 8x-12$$

Multiply 5 and 3 to get 15.

$$15x+5+30=2\times 8x-12$$

Add 5 and 30 to get 35.

$$15x+35=2\times 8x-12$$

Multiply 2 and 8 to get 16.

$$15x+35=16x-12$$

Subtract 16x from both sides.

$$15x+35-16x=-12$$

Combine 15x and -16x to get -x.

$$-x+35=-12$$

Subtract 35 from both sides.

$$-x=-12-35$$

Subtract 35 from -12 to get -47.

$$-x=-47$$

Multiply both sides by -1.

$$x=47$$