3(x+14)-2(x+2)=2(x-4)+3(x-6)

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Solution for 3(x+14)-2(x+2)=2(x-4)+3(x-6) equation: 


Simplifying
3(x + 14) + -2(x + 2) = 2(x + -4) + 3(x + -6)

Reorder the terms:
3(14 + x) + -2(x + 2) = 2(x + -4) + 3(x + -6)
(14 * 3 + x * 3) + -2(x + 2) = 2(x + -4) + 3(x + -6)
(42 + 3x) + -2(x + 2) = 2(x + -4) + 3(x + -6)

Reorder the terms:
42 + 3x + -2(2 + x) = 2(x + -4) + 3(x + -6)
42 + 3x + (2 * -2 + x * -2) = 2(x + -4) + 3(x + -6)
42 + 3x + (-4 + -2x) = 2(x + -4) + 3(x + -6)

Reorder the terms:
42 + -4 + 3x + -2x = 2(x + -4) + 3(x + -6)

Combine like terms: 42 + -4 = 38
38 + 3x + -2x = 2(x + -4) + 3(x + -6)

Combine like terms: 3x + -2x = 1x
38 + 1x = 2(x + -4) + 3(x + -6)

Reorder the terms:
38 + 1x = 2(-4 + x) + 3(x + -6)
38 + 1x = (-4 * 2 + x * 2) + 3(x + -6)
38 + 1x = (-8 + 2x) + 3(x + -6)

Reorder the terms:
38 + 1x = -8 + 2x + 3(-6 + x)
38 + 1x = -8 + 2x + (-6 * 3 + x * 3)
38 + 1x = -8 + 2x + (-18 + 3x)

Reorder the terms:
38 + 1x = -8 + -18 + 2x + 3x

Combine like terms: -8 + -18 = -26
38 + 1x = -26 + 2x + 3x

Combine like terms: 2x + 3x = 5x
38 + 1x = -26 + 5x

Solving
38 + 1x = -26 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
38 + 1x + -5x = -26 + 5x + -5x

Combine like terms: 1x + -5x = -4x
38 + -4x = -26 + 5x + -5x

Combine like terms: 5x + -5x = 0
38 + -4x = -26 + 0
38 + -4x = -26

Add '-38' to each side of the equation.
38 + -38 + -4x = -26 + -38

Combine like terms: 38 + -38 = 0
0 + -4x = -26 + -38
-4x = -26 + -38

Combine like terms: -26 + -38 = -64
-4x = -64

Divide each side by '-4'.
x = 16

Simplifying
x = 16

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