4x-3(x-2)=2(3x-20)

Solution for 4x-3(x-2)=2(3x-20) equation:

Simplifying
4x + -3(x + -2) = 2(3x + -20)

Reorder the terms:
4x + -3(-2 + x) = 2(3x + -20)
4x + (-2 * -3 + x * -3) = 2(3x + -20)
4x + (6 + -3x) = 2(3x + -20)

Reorder the terms:
6 + 4x + -3x = 2(3x + -20)

Combine like terms: 4x + -3x = 1x
6 + 1x = 2(3x + -20)

Reorder the terms:
6 + 1x = 2(-20 + 3x)
6 + 1x = (-20 * 2 + 3x * 2)
6 + 1x = (-40 + 6x)

Solving
6 + 1x = -40 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 1x + -6x = -40 + 6x + -6x

Combine like terms: 1x + -6x = -5x
6 + -5x = -40 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -5x = -40 + 0
6 + -5x = -40

Add '-6' to each side of the equation.
6 + -6 + -5x = -40 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -40 + -6
-5x = -40 + -6

Combine like terms: -40 + -6 = -46
-5x = -46

Divide each side by '-5'.
x = 9.2

Simplifying
x = 9.2