Solve:

X + 2 + 4x ≥ 3x - 4

Simplifying

4x + - 2 = 3x + 4

Reorder the terms:

-2 + 4x = 3x + 4

Reorder the terms:

-2 + 4x = 4 + 3x

Solving

-2 + 4x = 4 + 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.

-2 + 4x + - 3x = 4 + 3x + - 3x

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

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

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

-2 + 1x = 4 + 0

-2 + 1x = 4

Add '2' to each side of the equation.

-2 + 2 + 1x = 4 + 2

Combine like terms: - 2 + 2 = 0

0 + 1x = 4 + 2

1x = 4 + 2

Combine like terms: 4 + 2 = 6

1x = 6

Divide each side by '1'.

x = 6

Simplifying

x = 6

Answer: x is > or equal to - 3