6(x+1)=2x+16

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Solution for 6(x+1)=2x+16 equation:


Simplifying
6(x + 1) = 2x + 16

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

Reorder the terms:
6 + 6x = 16 + 2x

Solving
6 + 6x = 16 + 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.
6 + 6x + -2x = 16 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + 4x = 16 + 0
6 + 4x = 16

Add '-6' to each side of the equation.
6 + -6 + 4x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 16 + -6
4x = 16 + -6

Combine like terms: 16 + -6 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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