Solve 12-x/100=x-1.2/150+x/150

$$\frac{ 12-x }{ 100 } = \frac{ x-1.2 }{ 150 } + \frac{ x }{ 150 }$$

Solve for x

$$x = \frac{192}{35} = 5\frac{17}{35} \approx 5.485714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 300, the least common multiple of 100,150.

$$3\left(12-x\right)=2\left(x-1.2\right)+2x$$

Use the distributive property to multiply 3 by 12-x.

$$36-3x=2\left(x-1.2\right)+2x$$

Use the distributive property to multiply 2 by x-1.2.

$$36-3x=2x-2.4+2x$$

Combine 2x and 2x to get 4x.

$$36-3x=4x-2.4$$

Subtract 4x from both sides.

$$36-3x-4x=-2.4$$

Combine -3x and -4x to get -7x.

$$36-7x=-2.4$$

Subtract 36 from both sides.

$$-7x=-2.4-36$$

Subtract 36 from -2.4 to get -38.4.

$$-7x=-38.4$$

Divide both sides by -7.

$$x=\frac{-38.4}{-7}$$

Expand \frac{-38.4}{-7} by multiplying both numerator and the denominator by 10.

$$x=\frac{-384}{-70}$$

Reduce the fraction \frac{-384}{-70} to lowest terms by extracting and canceling out -2.

$$x=\frac{192}{35}$$