10x-6=45x+1

Solution for 10x-6=45x+1 equation:

Simplifying
10x + -6 = 45x + 1

Reorder the terms:
-6 + 10x = 45x + 1

Reorder the terms:
-6 + 10x = 1 + 45x

Solving
-6 + 10x = 1 + 45x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-45x' to each side of the equation.
-6 + 10x + -45x = 1 + 45x + -45x

Combine like terms: 10x + -45x = -35x
-6 + -35x = 1 + 45x + -45x

Combine like terms: 45x + -45x = 0
-6 + -35x = 1 + 0
-6 + -35x = 1

Add '6' to each side of the equation.
-6 + 6 + -35x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -35x = 1 + 6
-35x = 1 + 6

Combine like terms: 1 + 6 = 7
-35x = 7

Divide each side by '-35'.
x = -0.2

Simplifying
x = -0.2