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

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

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

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

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

Combine like terms: -6 + 8 = 2
2 + 3x + -4x = x + 2(x + 1)

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

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

Reorder the terms:
2 + -1x = 2 + x + 2x

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 2 + -2 + 3x

Combine like terms: 2 + -2 = 0
0 + -1x = 2 + -2 + 3x
-1x = 2 + -2 + 3x

Combine like terms: 2 + -2 = 0
-1x = 0 + 3x
-1x = 3x

Solving
-1x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1x + -3x = 3x + -3x

Combine like terms: -1x + -3x = -4x
-4x = 3x + -3x

Combine like terms: 3x + -3x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0