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

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


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

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

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

Reorder the terms:
4 + 12 + 4x + 2x = 6

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

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

Solving
16 + 6x = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

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

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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