-2x+7(-2x-3)=171

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Solution for -2x+7(-2x-3)=171 equation:


Simplifying
-2x + 7(-2x + -3) = 171

Reorder the terms:
-2x + 7(-3 + -2x) = 171
-2x + (-3 * 7 + -2x * 7) = 171
-2x + (-21 + -14x) = 171

Reorder the terms:
-21 + -2x + -14x = 171

Combine like terms: -2x + -14x = -16x
-21 + -16x = 171

Solving
-21 + -16x = 171

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + -16x = 171 + 21

Combine like terms: -21 + 21 = 0
0 + -16x = 171 + 21
-16x = 171 + 21

Combine like terms: 171 + 21 = 192
-16x = 192

Divide each side by '-16'.
x = -12

Simplifying
x = -12

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