Solve 5x/6-(3-x)/8=(4x+3)/12

$$5 x / 6 - ( 3 - x ) / 8 = ( 4 x + 3 ) / 12$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8,12.

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

Multiply 4 and 5 to get 20.

$$20x-3\left(3-x\right)=2\left(4x+3\right)$$

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

$$20x-9+3x=2\left(4x+3\right)$$

Combine 20x and 3x to get 23x.

$$23x-9=2\left(4x+3\right)$$

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

$$23x-9=8x+6$$

Subtract 8x from both sides.

$$23x-9-8x=6$$

Combine 23x and -8x to get 15x.

$$15x-9=6$$

Add 9 to both sides.

$$15x=6+9$$

Add 6 and 9 to get 15.

$$15x=15$$

Divide both sides by 15.

$$x=\frac{15}{15}$$

Divide 15 by 15 to get 1.

$$x=1$$