100(7x+1)=10(3x-2)

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Solution for 100(7x+1)=10(3x-2) equation:


Simplifying
100(7x + 1) = 10(3x + -2)

Reorder the terms:
100(1 + 7x) = 10(3x + -2)
(1 * 100 + 7x * 100) = 10(3x + -2)
(100 + 700x) = 10(3x + -2)

Reorder the terms:
100 + 700x = 10(-2 + 3x)
100 + 700x = (-2 * 10 + 3x * 10)
100 + 700x = (-20 + 30x)

Solving
100 + 700x = -20 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
100 + 700x + -30x = -20 + 30x + -30x

Combine like terms: 700x + -30x = 670x
100 + 670x = -20 + 30x + -30x

Combine like terms: 30x + -30x = 0
100 + 670x = -20 + 0
100 + 670x = -20

Add '-100' to each side of the equation.
100 + -100 + 670x = -20 + -100

Combine like terms: 100 + -100 = 0
0 + 670x = -20 + -100
670x = -20 + -100

Combine like terms: -20 + -100 = -120
670x = -120

Divide each side by '670'.
x = -0.1791044776

Simplifying
x = -0.1791044776

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