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

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


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

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

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

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

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

Reorder the terms:
2 + 2x = 4 + 2 + 4x

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

Solving
2 + 2x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 2x + -4x = 6 + 4x + -4x

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

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

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

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

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

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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