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

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


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

Reorder the terms:
2(6 + x) = 4(x + 1)
(6 * 2 + x * 2) = 4(x + 1)
(12 + 2x) = 4(x + 1)

Reorder the terms:
12 + 2x = 4(1 + x)
12 + 2x = (1 * 4 + x * 4)
12 + 2x = (4 + 4x)

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

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

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

Add '-12' to each side of the equation.
12 + -12 + -2x = 4 + -12

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

Combine like terms: 4 + -12 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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