2+3(x+2)-10=4-3x+12

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Solution for 2+3(x+2)-10=4-3x+12 equation: 


Simplifying
2 + 3(x + 2) + -10 = 4 + -3x + 12

Reorder the terms:
2 + 3(2 + x) + -10 = 4 + -3x + 12
2 + (2 * 3 + x * 3) + -10 = 4 + -3x + 12
2 + (6 + 3x) + -10 = 4 + -3x + 12

Reorder the terms:
2 + 6 + -10 + 3x = 4 + -3x + 12

Combine like terms: 2 + 6 = 8
8 + -10 + 3x = 4 + -3x + 12

Combine like terms: 8 + -10 = -2
-2 + 3x = 4 + -3x + 12

Reorder the terms:
-2 + 3x = 4 + 12 + -3x

Combine like terms: 4 + 12 = 16
-2 + 3x = 16 + -3x

Solving
-2 + 3x = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 3x + 3x = 16 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-2 + 6x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 6x = 16 + 0
-2 + 6x = 16

Add '2' to each side of the equation.
-2 + 2 + 6x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 16 + 2
6x = 16 + 2

Combine like terms: 16 + 2 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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