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

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


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

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

Reorder the terms:
2 + 2x = 4(3 + x)
2 + 2x = (3 * 4 + x * 4)
2 + 2x = (12 + 4x)

Solving
2 + 2x = 12 + 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 = 12 + 4x + -4x

Combine like terms: 2x + -4x = -2x
2 + -2x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -2x = 12 + 0
2 + -2x = 12

Add '-2' to each side of the equation.
2 + -2 + -2x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 12 + -2
-2x = 12 + -2

Combine like terms: 12 + -2 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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