Solve 432-x+x/7=5(x-x/7)

$$432-x+ \frac{ x }{ 7 } =5(x- \frac{ x }{ 7 } )$$

Solve for x

$$x=84$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7.

$$3024-7x+x=35\left(x-\frac{x}{7}\right)$$

Combine -7x and x to get -6x.

$$3024-6x=35\left(x-\frac{x}{7}\right)$$

Combine x and -\frac{x}{7} to get \frac{6}{7}x.

$$3024-6x=35\times \frac{6}{7}x$$

Express 35\times \frac{6}{7} as a single fraction.

$$3024-6x=\frac{35\times 6}{7}x$$

Multiply 35 and 6 to get 210.

$$3024-6x=\frac{210}{7}x$$

Divide 210 by 7 to get 30.

$$3024-6x=30x$$

Subtract 30x from both sides.

$$3024-6x-30x=0$$

Combine -6x and -30x to get -36x.

$$3024-36x=0$$

Subtract 3024 from both sides. Anything subtracted from zero gives its negation.

$$-36x=-3024$$

Divide both sides by -36.

$$x=\frac{-3024}{-36}$$

Divide -3024 by -36 to get 84.

$$x=84$$