2x-7(4x-3)=-109

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Solution for 2x-7(4x-3)=-109 equation:


Simplifying
2x + -7(4x + -3) = -109

Reorder the terms:
2x + -7(-3 + 4x) = -109
2x + (-3 * -7 + 4x * -7) = -109
2x + (21 + -28x) = -109

Reorder the terms:
21 + 2x + -28x = -109

Combine like terms: 2x + -28x = -26x
21 + -26x = -109

Solving
21 + -26x = -109

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 + -26x = -109 + -21

Combine like terms: 21 + -21 = 0
0 + -26x = -109 + -21
-26x = -109 + -21

Combine like terms: -109 + -21 = -130
-26x = -130

Divide each side by '-26'.
x = 5

Simplifying
x = 5

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