2+2(3x-4)=6-3(2x+1)

Solution for 2+2(3x-4)=6-3(2x+1) equation:

Simplifying
2 + 2(3x + -4) = 6 + -3(2x + 1)

Reorder the terms:
2 + 2(-4 + 3x) = 6 + -3(2x + 1)
2 + (-4 * 2 + 3x * 2) = 6 + -3(2x + 1)
2 + (-8 + 6x) = 6 + -3(2x + 1)

Combine like terms: 2 + -8 = -6
-6 + 6x = 6 + -3(2x + 1)

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

Combine like terms: 6 + -3 = 3
-6 + 6x = 3 + -6x

Solving
-6 + 6x = 3 + -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 + 6x + 6x = 3 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-6 + 12x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 12x = 3 + 0
-6 + 12x = 3

Add '6' to each side of the equation.
-6 + 6 + 12x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 3 + 6
12x = 3 + 6

Combine like terms: 3 + 6 = 9
12x = 9

Divide each side by '12'.
x = 0.75

Simplifying
x = 0.75