12+2(x+2)=6+2(2x+1)

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Solution for 12+2(x+2)=6+2(2x+1) equation:


Simplifying
12 + 2(x + 2) = 6 + 2(2x + 1)

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

Combine like terms: 12 + 4 = 16
16 + 2x = 6 + 2(2x + 1)

Reorder the terms:
16 + 2x = 6 + 2(1 + 2x)
16 + 2x = 6 + (1 * 2 + 2x * 2)
16 + 2x = 6 + (2 + 4x)

Combine like terms: 6 + 2 = 8
16 + 2x = 8 + 4x

Solving
16 + 2x = 8 + 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.
16 + 2x + -4x = 8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
16 + -2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -2x = 8 + 0
16 + -2x = 8

Add '-16' to each side of the equation.
16 + -16 + -2x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 8 + -16
-2x = 8 + -16

Combine like terms: 8 + -16 = -8
-2x = -8

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

Simplifying
x = 4

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