2x-7(5x-8)=-109

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Solution for 2x-7(5x-8)=-109 equation:


Simplifying
2x + -7(5x + -8) = -109

Reorder the terms:
2x + -7(-8 + 5x) = -109
2x + (-8 * -7 + 5x * -7) = -109
2x + (56 + -35x) = -109

Reorder the terms:
56 + 2x + -35x = -109

Combine like terms: 2x + -35x = -33x
56 + -33x = -109

Solving
56 + -33x = -109

Solving for variable 'x'.

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

Add '-56' to each side of the equation.
56 + -56 + -33x = -109 + -56

Combine like terms: 56 + -56 = 0
0 + -33x = -109 + -56
-33x = -109 + -56

Combine like terms: -109 + -56 = -165
-33x = -165

Divide each side by '-33'.
x = 5

Simplifying
x = 5

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