6(x+2)=2(x+16)

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Solution for 6(x+2)=2(x+16) equation:


Simplifying
6(x + 2) = 2(x + 16)

Reorder the terms:
6(2 + x) = 2(x + 16)
(2 * 6 + x * 6) = 2(x + 16)
(12 + 6x) = 2(x + 16)

Reorder the terms:
12 + 6x = 2(16 + x)
12 + 6x = (16 * 2 + x * 2)
12 + 6x = (32 + 2x)

Solving
12 + 6x = 32 + 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.
12 + 6x + -2x = 32 + 2x + -2x

Combine like terms: 6x + -2x = 4x
12 + 4x = 32 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 4x = 32 + 0
12 + 4x = 32

Add '-12' to each side of the equation.
12 + -12 + 4x = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 32 + -12
4x = 32 + -12

Combine like terms: 32 + -12 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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