2x+3(-2x-6)=30

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Solution for 2x+3(-2x-6)=30 equation:


Simplifying
2x + 3(-2x + -6) = 30

Reorder the terms:
2x + 3(-6 + -2x) = 30
2x + (-6 * 3 + -2x * 3) = 30
2x + (-18 + -6x) = 30

Reorder the terms:
-18 + 2x + -6x = 30

Combine like terms: 2x + -6x = -4x
-18 + -4x = 30

Solving
-18 + -4x = 30

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + -4x = 30 + 18

Combine like terms: -18 + 18 = 0
0 + -4x = 30 + 18
-4x = 30 + 18

Combine like terms: 30 + 18 = 48
-4x = 48

Divide each side by '-4'.
x = -12

Simplifying
x = -12

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