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

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Solution for 3(x+4)-2=(x+6) equation: 


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

Reorder the terms:
3(4 + x) + -2 = (x + 6)
(4 * 3 + x * 3) + -2 = (x + 6)
(12 + 3x) + -2 = (x + 6)

Reorder the terms:
12 + -2 + 3x = (x + 6)

Combine like terms: 12 + -2 = 10
10 + 3x = (x + 6)

Reorder the terms:
10 + 3x = (6 + x)

Remove parenthesis around (6 + x)
10 + 3x = 6 + x

Solving
10 + 3x = 6 + 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.
10 + 3x + -1x = 6 + x + -1x

Combine like terms: 3x + -1x = 2x
10 + 2x = 6 + x + -1x

Combine like terms: x + -1x = 0
10 + 2x = 6 + 0
10 + 2x = 6

Add '-10' to each side of the equation.
10 + -10 + 2x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 6 + -10
2x = 6 + -10

Combine like terms: 6 + -10 = -4
2x = -4

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

Simplifying
x = -2

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