3(x-4)-6(x+4)=30

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Solution for 3(x-4)-6(x+4)=30 equation: 


Simplifying
3(x + -4) + -6(x + 4) = 30

Reorder the terms:
3(-4 + x) + -6(x + 4) = 30
(-4 * 3 + x * 3) + -6(x + 4) = 30
(-12 + 3x) + -6(x + 4) = 30

Reorder the terms:
-12 + 3x + -6(4 + x) = 30
-12 + 3x + (4 * -6 + x * -6) = 30
-12 + 3x + (-24 + -6x) = 30

Reorder the terms:
-12 + -24 + 3x + -6x = 30

Combine like terms: -12 + -24 = -36
-36 + 3x + -6x = 30

Combine like terms: 3x + -6x = -3x
-36 + -3x = 30

Solving
-36 + -3x = 30

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + -3x = 30 + 36

Combine like terms: -36 + 36 = 0
0 + -3x = 30 + 36
-3x = 30 + 36

Combine like terms: 30 + 36 = 66
-3x = 66

Divide each side by '-3'.
x = -22

Simplifying
x = -22

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