x-7(2x-7)=100

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Solution for x-7(2x-7)=100 equation: 


Simplifying
x + -7(2x + -7) = 100

Reorder the terms:
x + -7(-7 + 2x) = 100
x + (-7 * -7 + 2x * -7) = 100
x + (49 + -14x) = 100

Reorder the terms:
49 + x + -14x = 100

Combine like terms: x + -14x = -13x
49 + -13x = 100

Solving
49 + -13x = 100

Solving for variable 'x'.

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

Add '-49' to each side of the equation.
49 + -49 + -13x = 100 + -49

Combine like terms: 49 + -49 = 0
0 + -13x = 100 + -49
-13x = 100 + -49

Combine like terms: 100 + -49 = 51
-13x = 51

Divide each side by '-13'.
x = -3.923076923

Simplifying
x = -3.923076923

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