5x+7(-2x-7)=-51-7x

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Solution for 5x+7(-2x-7)=-51-7x equation:


Simplifying
5x + 7(-2x + -7) = -51 + -7x

Reorder the terms:
5x + 7(-7 + -2x) = -51 + -7x
5x + (-7 * 7 + -2x * 7) = -51 + -7x
5x + (-49 + -14x) = -51 + -7x

Reorder the terms:
-49 + 5x + -14x = -51 + -7x

Combine like terms: 5x + -14x = -9x
-49 + -9x = -51 + -7x

Solving
-49 + -9x = -51 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-49 + -9x + 7x = -51 + -7x + 7x

Combine like terms: -9x + 7x = -2x
-49 + -2x = -51 + -7x + 7x

Combine like terms: -7x + 7x = 0
-49 + -2x = -51 + 0
-49 + -2x = -51

Add '49' to each side of the equation.
-49 + 49 + -2x = -51 + 49

Combine like terms: -49 + 49 = 0
0 + -2x = -51 + 49
-2x = -51 + 49

Combine like terms: -51 + 49 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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