Solve x-3/4+2left(x-4right)/5-1/3=0

$$\frac{ x-3 }{ 4 } + \frac{ 2 \left( x-4 \right) }{ 5 } - \frac{ 1 }{ 3 } = 0$$

Solve for x

$$x = \frac{161}{39} = 4\frac{5}{39} \approx 4.128205128$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 4,5,3.

$$15\left(x-3\right)+12\times 2\left(x-4\right)-20=0$$

Use the distributive property to multiply 15 by x-3.

$$15x-45+12\times 2\left(x-4\right)-20=0$$

Multiply 12 and 2 to get 24.

$$15x-45+24\left(x-4\right)-20=0$$

Use the distributive property to multiply 24 by x-4.

$$15x-45+24x-96-20=0$$

Combine 15x and 24x to get 39x.

$$39x-45-96-20=0$$

Subtract 96 from -45 to get -141.

$$39x-141-20=0$$

Subtract 20 from -141 to get -161.

$$39x-161=0$$

Add 161 to both sides. Anything plus zero gives itself.

$$39x=161$$

Divide both sides by 39.

$$x=\frac{161}{39}$$