Solve 4-x/5-1=5-x/2

$$\frac { 4 - x } { 5 } - 1 = \frac { 5 - x } { 2 }$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

$$2\left(4-x\right)-10=5\left(5-x\right)$$

Use the distributive property to multiply 2 by 4-x.

$$8-2x-10=5\left(5-x\right)$$

Subtract 10 from 8 to get -2.

$$-2-2x=5\left(5-x\right)$$

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

$$-2-2x=25-5x$$

Add 5x to both sides.

$$-2-2x+5x=25$$

Combine -2x and 5x to get 3x.

$$-2+3x=25$$

Add 2 to both sides.

$$3x=25+2$$

Add 25 and 2 to get 27.

$$3x=27$$

Divide both sides by 3.

$$x=\frac{27}{3}$$

Divide 27 by 3 to get 9.

$$x=9$$