7x+5=100(x-7)-3

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Solution for 7x+5=100(x-7)-3 equation:


Simplifying
7x + 5 = 100(x + -7) + -3

Reorder the terms:
5 + 7x = 100(x + -7) + -3

Reorder the terms:
5 + 7x = 100(-7 + x) + -3
5 + 7x = (-7 * 100 + x * 100) + -3
5 + 7x = (-700 + 100x) + -3

Reorder the terms:
5 + 7x = -700 + -3 + 100x

Combine like terms: -700 + -3 = -703
5 + 7x = -703 + 100x

Solving
5 + 7x = -703 + 100x

Solving for variable 'x'.

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

Add '-100x' to each side of the equation.
5 + 7x + -100x = -703 + 100x + -100x

Combine like terms: 7x + -100x = -93x
5 + -93x = -703 + 100x + -100x

Combine like terms: 100x + -100x = 0
5 + -93x = -703 + 0
5 + -93x = -703

Add '-5' to each side of the equation.
5 + -5 + -93x = -703 + -5

Combine like terms: 5 + -5 = 0
0 + -93x = -703 + -5
-93x = -703 + -5

Combine like terms: -703 + -5 = -708
-93x = -708

Divide each side by '-93'.
x = 7.612903226

Simplifying
x = 7.612903226

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