2x+3(-7x-9)=182

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Solution for 2x+3(-7x-9)=182 equation:


Simplifying
2x + 3(-7x + -9) = 182

Reorder the terms:
2x + 3(-9 + -7x) = 182
2x + (-9 * 3 + -7x * 3) = 182
2x + (-27 + -21x) = 182

Reorder the terms:
-27 + 2x + -21x = 182

Combine like terms: 2x + -21x = -19x
-27 + -19x = 182

Solving
-27 + -19x = 182

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + -19x = 182 + 27

Combine like terms: -27 + 27 = 0
0 + -19x = 182 + 27
-19x = 182 + 27

Combine like terms: 182 + 27 = 209
-19x = 209

Divide each side by '-19'.
x = -11

Simplifying
x = -11

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