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

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


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

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

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

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

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

Reorder the terms:
2 + -3x = -4(-6 + x) + 2
2 + -3x = (-6 * -4 + x * -4) + 2
2 + -3x = (24 + -4x) + 2

Reorder the terms:
2 + -3x = 24 + 2 + -4x

Combine like terms: 24 + 2 = 26
2 + -3x = 26 + -4x

Solving
2 + -3x = 26 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + -3x + 4x = 26 + -4x + 4x

Combine like terms: -3x + 4x = 1x
2 + 1x = 26 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 1x = 26 + 0
2 + 1x = 26

Add '-2' to each side of the equation.
2 + -2 + 1x = 26 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 26 + -2
1x = 26 + -2

Combine like terms: 26 + -2 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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