2(6x+1)+3(x-1)=59

Solution for 2(6x+1)+3(x-1)=59 equation:

Simplifying
2(6x + 1) + 3(x + -1) = 59

Reorder the terms:
2(1 + 6x) + 3(x + -1) = 59
(1 * 2 + 6x * 2) + 3(x + -1) = 59
(2 + 12x) + 3(x + -1) = 59

Reorder the terms:
2 + 12x + 3(-1 + x) = 59
2 + 12x + (-1 * 3 + x * 3) = 59
2 + 12x + (-3 + 3x) = 59

Reorder the terms:
2 + -3 + 12x + 3x = 59

Combine like terms: 2 + -3 = -1
-1 + 12x + 3x = 59

Combine like terms: 12x + 3x = 15x
-1 + 15x = 59

Solving
-1 + 15x = 59

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 15x = 59 + 1

Combine like terms: -1 + 1 = 0
0 + 15x = 59 + 1
15x = 59 + 1

Combine like terms: 59 + 1 = 60
15x = 60

Divide each side by '15'.
x = 4

Simplifying
x = 4