Question 346795
25-x=5x-3

Since 5x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 5x from both sides.
-x+25-5x=-3

Since -x and -5x are like terms, subtract 5x from -x to get -6x.
-6x+25=-3

Since 25 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 25 from both sides.
-6x=-25-3

Subtract 3 from -25 to get -28.
-6x=-28

Divide each term in the equation by -6.
-(6x)/(-6)=-(28)/(-6)

Simplify the left-hand side of the equation by canceling the common factors.
x=-(28)/(-6)

Simplify the right-hand side of the equation by simplifying each term.
x=(14)/(3)


25-x=5x-3

To set the left-hand side of the equation equal to 0, move all the expressions to the left-hand side.
25-x-5x+3=0

Add 3 to 25 to get 28.
28-x-5x=0

Since -x and -5x are like terms, subtract 5x from -x to get -6x.
28-6x=0

Multiply each term in the equation by -1.
-6x*-1+28*-1=0*-1

Simplify the left-hand side of the equation by multiplying out all the terms.
6x-28=0*-1

Multiply 0 by -1 to get 0.
6x-28=0

Since -28 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 28 to both sides.
6x=28

Divide each term in the equation by 6.
(6x)/(6)=(28)/(6)

Simplify the left-hand side of the equation by canceling the common factors.
x=(28)/(6)

Simplify the right-hand side of the equation by simplifying each term.
x=(14)/(3)