-2x+3(-5x+12)=-83

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Solution for -2x+3(-5x+12)=-83 equation:


Simplifying
-2x + 3(-5x + 12) = -83

Reorder the terms:
-2x + 3(12 + -5x) = -83
-2x + (12 * 3 + -5x * 3) = -83
-2x + (36 + -15x) = -83

Reorder the terms:
36 + -2x + -15x = -83

Combine like terms: -2x + -15x = -17x
36 + -17x = -83

Solving
36 + -17x = -83

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 + -17x = -83 + -36

Combine like terms: 36 + -36 = 0
0 + -17x = -83 + -36
-17x = -83 + -36

Combine like terms: -83 + -36 = -119
-17x = -119

Divide each side by '-17'.
x = 7

Simplifying
x = 7

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