20x-3(x-2)=27-6+2(2x-1)

Solution for 20x-3(x-2)=27-6+2(2x-1) equation:

Simplifying
20x + -3(x + -2) = 27 + -6 + 2(2x + -1)

Reorder the terms:
20x + -3(-2 + x) = 27 + -6 + 2(2x + -1)
20x + (-2 * -3 + x * -3) = 27 + -6 + 2(2x + -1)
20x + (6 + -3x) = 27 + -6 + 2(2x + -1)

Reorder the terms:
6 + 20x + -3x = 27 + -6 + 2(2x + -1)

Combine like terms: 20x + -3x = 17x
6 + 17x = 27 + -6 + 2(2x + -1)

Reorder the terms:
6 + 17x = 27 + -6 + 2(-1 + 2x)
6 + 17x = 27 + -6 + (-1 * 2 + 2x * 2)
6 + 17x = 27 + -6 + (-2 + 4x)

Combine like terms: 27 + -6 = 21
6 + 17x = 21 + -2 + 4x

Combine like terms: 21 + -2 = 19
6 + 17x = 19 + 4x

Solving
6 + 17x = 19 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 17x + -4x = 19 + 4x + -4x

Combine like terms: 17x + -4x = 13x
6 + 13x = 19 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 13x = 19 + 0
6 + 13x = 19

Add '-6' to each side of the equation.
6 + -6 + 13x = 19 + -6

Combine like terms: 6 + -6 = 0
0 + 13x = 19 + -6
13x = 19 + -6

Combine like terms: 19 + -6 = 13
13x = 13

Divide each side by '13'.
x = 1

Simplifying
x = 1