6(x*3)-9(x-5)=x-1

Solution for 6(x*3)-9(x-5)=x-1 equation:

Simplifying
6(x * 3) + -9(x + -5) = x + -1

Reorder the terms for easier multiplication:
6(3x) + -9(x + -5) = x + -1

Remove parenthesis around (3x)
6 * 3x + -9(x + -5) = x + -1

Multiply 6 * 3
18x + -9(x + -5) = x + -1

Reorder the terms:
18x + -9(-5 + x) = x + -1
18x + (-5 * -9 + x * -9) = x + -1
18x + (45 + -9x) = x + -1

Reorder the terms:
45 + 18x + -9x = x + -1

Combine like terms: 18x + -9x = 9x
45 + 9x = x + -1

Reorder the terms:
45 + 9x = -1 + x

Solving
45 + 9x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
45 + 9x + -1x = -1 + x + -1x

Combine like terms: 9x + -1x = 8x
45 + 8x = -1 + x + -1x

Combine like terms: x + -1x = 0
45 + 8x = -1 + 0
45 + 8x = -1

Add '-45' to each side of the equation.
45 + -45 + 8x = -1 + -45

Combine like terms: 45 + -45 = 0
0 + 8x = -1 + -45
8x = -1 + -45

Combine like terms: -1 + -45 = -46
8x = -46

Divide each side by '8'.
x = -5.75

Simplifying
x = -5.75