3(x+2)-2x+8=4+3x-6

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Solution for 3(x+2)-2x+8=4+3x-6 equation:


Simplifying
3(x + 2) + -2x + 8 = 4 + 3x + -6

Reorder the terms:
3(2 + x) + -2x + 8 = 4 + 3x + -6
(2 * 3 + x * 3) + -2x + 8 = 4 + 3x + -6
(6 + 3x) + -2x + 8 = 4 + 3x + -6

Reorder the terms:
6 + 8 + 3x + -2x = 4 + 3x + -6

Combine like terms: 6 + 8 = 14
14 + 3x + -2x = 4 + 3x + -6

Combine like terms: 3x + -2x = 1x
14 + 1x = 4 + 3x + -6

Reorder the terms:
14 + 1x = 4 + -6 + 3x

Combine like terms: 4 + -6 = -2
14 + 1x = -2 + 3x

Solving
14 + 1x = -2 + 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.
14 + 1x + -3x = -2 + 3x + -3x

Combine like terms: 1x + -3x = -2x
14 + -2x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -2x = -2 + 0
14 + -2x = -2

Add '-14' to each side of the equation.
14 + -14 + -2x = -2 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -2 + -14
-2x = -2 + -14

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

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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