2(x+2)-3(x-2)=5-4(3x-1)

Solution for 2(x+2)-3(x-2)=5-4(3x-1) equation:

Simplifying
2(x + 2) + -3(x + -2) = 5 + -4(3x + -1)

Reorder the terms:
2(2 + x) + -3(x + -2) = 5 + -4(3x + -1)
(2 * 2 + x * 2) + -3(x + -2) = 5 + -4(3x + -1)
(4 + 2x) + -3(x + -2) = 5 + -4(3x + -1)

Reorder the terms:
4 + 2x + -3(-2 + x) = 5 + -4(3x + -1)
4 + 2x + (-2 * -3 + x * -3) = 5 + -4(3x + -1)
4 + 2x + (6 + -3x) = 5 + -4(3x + -1)

Reorder the terms:
4 + 6 + 2x + -3x = 5 + -4(3x + -1)

Combine like terms: 4 + 6 = 10
10 + 2x + -3x = 5 + -4(3x + -1)

Combine like terms: 2x + -3x = -1x
10 + -1x = 5 + -4(3x + -1)

Reorder the terms:
10 + -1x = 5 + -4(-1 + 3x)
10 + -1x = 5 + (-1 * -4 + 3x * -4)
10 + -1x = 5 + (4 + -12x)

Combine like terms: 5 + 4 = 9
10 + -1x = 9 + -12x

Solving
10 + -1x = 9 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
10 + -1x + 12x = 9 + -12x + 12x

Combine like terms: -1x + 12x = 11x
10 + 11x = 9 + -12x + 12x

Combine like terms: -12x + 12x = 0
10 + 11x = 9 + 0
10 + 11x = 9

Add '-10' to each side of the equation.
10 + -10 + 11x = 9 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = 9 + -10
11x = 9 + -10

Combine like terms: 9 + -10 = -1
11x = -1

Divide each side by '11'.
x = -0.09090909091

Simplifying
x = -0.09090909091