3(x+10)+6=(x+12)

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Solution for 3(x+10)+6=(x+12) equation:


Simplifying
3(x + 10) + 6 = (x + 12)

Reorder the terms:
3(10 + x) + 6 = (x + 12)
(10 * 3 + x * 3) + 6 = (x + 12)
(30 + 3x) + 6 = (x + 12)

Reorder the terms:
30 + 6 + 3x = (x + 12)

Combine like terms: 30 + 6 = 36
36 + 3x = (x + 12)

Reorder the terms:
36 + 3x = (12 + x)

Remove parenthesis around (12 + x)
36 + 3x = 12 + x

Solving
36 + 3x = 12 + 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.
36 + 3x + -1x = 12 + x + -1x

Combine like terms: 3x + -1x = 2x
36 + 2x = 12 + x + -1x

Combine like terms: x + -1x = 0
36 + 2x = 12 + 0
36 + 2x = 12

Add '-36' to each side of the equation.
36 + -36 + 2x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = 12 + -36
2x = 12 + -36

Combine like terms: 12 + -36 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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