Solve 4-x/3=6-3x/5

$$\frac{ 4-x }{ 3 } = \frac{ 6-3x }{ 5 }$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(4-x\right)=3\left(6-3x\right)$$

Use the distributive property to multiply 5 by 4-x.

$$20-5x=3\left(6-3x\right)$$

Use the distributive property to multiply 3 by 6-3x.

$$20-5x=18-9x$$

Add 9x to both sides.

$$20-5x+9x=18$$

Combine -5x and 9x to get 4x.

$$20+4x=18$$

Subtract 20 from both sides.

$$4x=18-20$$

Subtract 20 from 18 to get -2.

$$4x=-2$$

Divide both sides by 4.

$$x=\frac{-2}{4}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{2}$$