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

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Solution for 4(x)+2+6+2(x)=16+(x)-2(x)-2 equation:


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

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

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

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

Reorder the terms:
8 + 6x = 16 + -2 + x + -2x

Combine like terms: 16 + -2 = 14
8 + 6x = 14 + x + -2x

Combine like terms: x + -2x = -1x
8 + 6x = 14 + -1x

Solving
8 + 6x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + 6x + x = 14 + -1x + x

Combine like terms: 6x + x = 7x
8 + 7x = 14 + -1x + x

Combine like terms: -1x + x = 0
8 + 7x = 14 + 0
8 + 7x = 14

Add '-8' to each side of the equation.
8 + -8 + 7x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 14 + -8
7x = 14 + -8

Combine like terms: 14 + -8 = 6
7x = 6

Divide each side by '7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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