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

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

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

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

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

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

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

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

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

Combine like terms: 6 + 4 = 10
-6 + 6x = 10 + 2x

Solving
-6 + 6x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 6x + -2x = 10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-6 + 4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 4x = 10 + 0
-6 + 4x = 10

Add '6' to each side of the equation.
-6 + 6 + 4x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 10 + 6
4x = 10 + 6

Combine like terms: 10 + 6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4