Solve 4-x/3=x-3/5-1

$$\frac { 4 - x } { 3 } = \frac { x - 3 } { 5 } - 1$$

Solve for x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps for Solving Linear Equation

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

$$5\left(4-x\right)=3\left(x-3\right)-15$$

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

$$20-5x=3\left(x-3\right)-15$$

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

$$20-5x=3x-9-15$$

Subtract 15 from -9 to get -24.

$$20-5x=3x-24$$

Subtract 3x from both sides.

$$20-5x-3x=-24$$

Combine -5x and -3x to get -8x.

$$20-8x=-24$$

Subtract 20 from both sides.

$$-8x=-24-20$$

Subtract 20 from -24 to get -44.

$$-8x=-44$$

Divide both sides by -8.

$$x=\frac{-44}{-8}$$

Reduce the fraction \frac{-44}{-8} to lowest terms by extracting and canceling out -4.

$$x=\frac{11}{2}$$