Question 346958
15x-2=21x+10

Since 21x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 21x from both sides.
15x-2-21x=10

Since 15x and -21x are like terms, add -21x to 15x to get -6x.
-6x-2=10

Since -2 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 2 to both sides.
-6x=2+10

Add 10 to 2 to get 12.
-6x=12

Divide each term in the equation by -6.
-(6x)/(-6)=(12)/(-6)

Simplify the left-hand side of the equation by canceling the common factors.
x=(12)/(-6)

Simplify the right-hand side of the equation by simplifying each term.
x=-2