4(x+2)+6=10+(x-2)

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Solution for 4(x+2)+6=10+(x-2) equation: 


Simplifying
4(x + 2) + 6 = 10 + (x + -2)

Reorder the terms:
4(2 + x) + 6 = 10 + (x + -2)
(2 * 4 + x * 4) + 6 = 10 + (x + -2)
(8 + 4x) + 6 = 10 + (x + -2)

Reorder the terms:
8 + 6 + 4x = 10 + (x + -2)

Combine like terms: 8 + 6 = 14
14 + 4x = 10 + (x + -2)

Reorder the terms:
14 + 4x = 10 + (-2 + x)

Remove parenthesis around (-2 + x)
14 + 4x = 10 + -2 + x

Combine like terms: 10 + -2 = 8
14 + 4x = 8 + x

Solving
14 + 4x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + 4x + -1x = 8 + x + -1x

Combine like terms: 4x + -1x = 3x
14 + 3x = 8 + x + -1x

Combine like terms: x + -1x = 0
14 + 3x = 8 + 0
14 + 3x = 8

Add '-14' to each side of the equation.
14 + -14 + 3x = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 8 + -14
3x = 8 + -14

Combine like terms: 8 + -14 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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