6(5x+1)=2x-9x

Solution for 6(5x+1)=2x-9x equation:

Simplifying
6(5x + 1) = 2x + -9x

Reorder the terms:
6(1 + 5x) = 2x + -9x
(1 * 6 + 5x * 6) = 2x + -9x
(6 + 30x) = 2x + -9x

Combine like terms: 2x + -9x = -7x
6 + 30x = -7x

Solving
6 + 30x = -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + 30x + 7x = -7x + 7x

Combine like terms: 30x + 7x = 37x
6 + 37x = -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 37x = 0

Add '-6' to each side of the equation.
6 + -6 + 37x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 37x = 0 + -6
37x = 0 + -6

Combine like terms: 0 + -6 = -6
37x = -6

Divide each side by '37'.
x = -0.1621621622

Simplifying
x = -0.1621621622