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

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


Simplifying
3(x + -4) + -2 = 2(X + 5) + -1X

Reorder the terms:
3(-4 + x) + -2 = 2(X + 5) + -1X
(-4 * 3 + x * 3) + -2 = 2(X + 5) + -1X
(-12 + 3x) + -2 = 2(X + 5) + -1X

Reorder the terms:
-12 + -2 + 3x = 2(X + 5) + -1X

Combine like terms: -12 + -2 = -14
-14 + 3x = 2(X + 5) + -1X

Reorder the terms:
-14 + 3x = 2(5 + X) + -1X
-14 + 3x = (5 * 2 + X * 2) + -1X
-14 + 3x = (10 + 2X) + -1X

Combine like terms: 2X + -1X = 1X
-14 + 3x = 10 + 1X

Solving
-14 + 3x = 10 + 1X

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 3x = 10 + 14 + 1X

Combine like terms: -14 + 14 = 0
0 + 3x = 10 + 14 + 1X
3x = 10 + 14 + 1X

Combine like terms: 10 + 14 = 24
3x = 24 + 1X

Divide each side by '3'.
x = 8 + 0.3333333333X

Simplifying
x = 8 + 0.3333333333X

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