6(7x-1)=45x

Solution for 6(7x-1)=45x equation:

Simplifying
6(7x + -1) = 45x

Reorder the terms:
6(-1 + 7x) = 45x
(-1 * 6 + 7x * 6) = 45x
(-6 + 42x) = 45x

Solving
-6 + 42x = 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 + 42x + -45x = 45x + -45x

Combine like terms: 42x + -45x = -3x
-6 + -3x = 45x + -45x

Combine like terms: 45x + -45x = 0
-6 + -3x = 0

Add '6' to each side of the equation.
-6 + 6 + -3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 0 + 6
-3x = 0 + 6

Combine like terms: 0 + 6 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2