Solve 7x-3/2+2x/3=8x-3/2

$$\frac { 7 x - 3 } { 2 } + \frac { 2 x } { 3 } = \frac { 8 x - 3 } { 2 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$3\left(7x-3\right)+2\times 2x=3\left(8x-3\right)$$

Use the distributive property to multiply 3 by 7x-3.

$$21x-9+2\times 2x=3\left(8x-3\right)$$

Multiply 2 and 2 to get 4.

$$21x-9+4x=3\left(8x-3\right)$$

Combine 21x and 4x to get 25x.

$$25x-9=3\left(8x-3\right)$$

Use the distributive property to multiply 3 by 8x-3.

$$25x-9=24x-9$$

Subtract 24x from both sides.

$$25x-9-24x=-9$$

Combine 25x and -24x to get x.

$$x-9=-9$$

Add 9 to both sides.

$$x=-9+9$$

Add -9 and 9 to get 0.

$$x=0$$