6x+7=1003x-20

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Solution for 6x+7=1003x-20 equation:


Simplifying
6x + 7 = 1003x + -20

Reorder the terms:
7 + 6x = 1003x + -20

Reorder the terms:
7 + 6x = -20 + 1003x

Solving
7 + 6x = -20 + 1003x

Solving for variable 'x'.

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

Add '-1003x' to each side of the equation.
7 + 6x + -1003x = -20 + 1003x + -1003x

Combine like terms: 6x + -1003x = -997x
7 + -997x = -20 + 1003x + -1003x

Combine like terms: 1003x + -1003x = 0
7 + -997x = -20 + 0
7 + -997x = -20

Add '-7' to each side of the equation.
7 + -7 + -997x = -20 + -7

Combine like terms: 7 + -7 = 0
0 + -997x = -20 + -7
-997x = -20 + -7

Combine like terms: -20 + -7 = -27
-997x = -27

Divide each side by '-997'.
x = 0.02708124373

Simplifying
x = 0.02708124373

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