2(5x-1)+8=2*(x-3)*18

Solution for 2(5x-1)+8=2*(x-3)*18 equation:

Simplifying
2(5x + -1) + 8 = 2(x + -3) * 18

Reorder the terms:
2(-1 + 5x) + 8 = 2(x + -3) * 18
(-1 * 2 + 5x * 2) + 8 = 2(x + -3) * 18
(-2 + 10x) + 8 = 2(x + -3) * 18

Reorder the terms:
-2 + 8 + 10x = 2(x + -3) * 18

Combine like terms: -2 + 8 = 6
6 + 10x = 2(x + -3) * 18

Reorder the terms:
6 + 10x = 2(-3 + x) * 18

Reorder the terms for easier multiplication:
6 + 10x = 2 * 18(-3 + x)

Multiply 2 * 18
6 + 10x = 36(-3 + x)
6 + 10x = (-3 * 36 + x * 36)
6 + 10x = (-108 + 36x)

Solving
6 + 10x = -108 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
6 + 10x + -36x = -108 + 36x + -36x

Combine like terms: 10x + -36x = -26x
6 + -26x = -108 + 36x + -36x

Combine like terms: 36x + -36x = 0
6 + -26x = -108 + 0
6 + -26x = -108

Add '-6' to each side of the equation.
6 + -6 + -26x = -108 + -6

Combine like terms: 6 + -6 = 0
0 + -26x = -108 + -6
-26x = -108 + -6

Combine like terms: -108 + -6 = -114
-26x = -114

Divide each side by '-26'.
x = 4.384615385

Simplifying
x = 4.384615385