(103-x)+(6x-7)=2x

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Solution for (103-x)+(6x-7)=2x equation:


Simplifying
(103 + -1x) + (6x + -7) = 2x

Remove parenthesis around (103 + -1x)
103 + -1x + (6x + -7) = 2x

Reorder the terms:
103 + -1x + (-7 + 6x) = 2x

Remove parenthesis around (-7 + 6x)
103 + -1x + -7 + 6x = 2x

Reorder the terms:
103 + -7 + -1x + 6x = 2x

Combine like terms: 103 + -7 = 96
96 + -1x + 6x = 2x

Combine like terms: -1x + 6x = 5x
96 + 5x = 2x

Solving
96 + 5x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
96 + 5x + -2x = 2x + -2x

Combine like terms: 5x + -2x = 3x
96 + 3x = 2x + -2x

Combine like terms: 2x + -2x = 0
96 + 3x = 0

Add '-96' to each side of the equation.
96 + -96 + 3x = 0 + -96

Combine like terms: 96 + -96 = 0
0 + 3x = 0 + -96
3x = 0 + -96

Combine like terms: 0 + -96 = -96
3x = -96

Divide each side by '3'.
x = -32

Simplifying
x = -32

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