3+2(x-6)+5-3(x+4)=6

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Solution for 3+2(x-6)+5-3(x+4)=6 equation: 


Simplifying
3 + 2(x + -6) + 5 + -3(x + 4) = 6

Reorder the terms:
3 + 2(-6 + x) + 5 + -3(x + 4) = 6
3 + (-6 * 2 + x * 2) + 5 + -3(x + 4) = 6
3 + (-12 + 2x) + 5 + -3(x + 4) = 6

Reorder the terms:
3 + -12 + 2x + 5 + -3(4 + x) = 6
3 + -12 + 2x + 5 + (4 * -3 + x * -3) = 6
3 + -12 + 2x + 5 + (-12 + -3x) = 6

Reorder the terms:
3 + -12 + 5 + -12 + 2x + -3x = 6

Combine like terms: 3 + -12 = -9
-9 + 5 + -12 + 2x + -3x = 6

Combine like terms: -9 + 5 = -4
-4 + -12 + 2x + -3x = 6

Combine like terms: -4 + -12 = -16
-16 + 2x + -3x = 6

Combine like terms: 2x + -3x = -1x
-16 + -1x = 6

Solving
-16 + -1x = 6

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 6 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 6 + 16
-1x = 6 + 16

Combine like terms: 6 + 16 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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