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

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


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

Reorder the terms:
(2 + 3x) + (7x + -1) = x

Remove parenthesis around (2 + 3x)
2 + 3x + (7x + -1) = x

Reorder the terms:
2 + 3x + (-1 + 7x) = x

Remove parenthesis around (-1 + 7x)
2 + 3x + -1 + 7x = x

Reorder the terms:
2 + -1 + 3x + 7x = x

Combine like terms: 2 + -1 = 1
1 + 3x + 7x = x

Combine like terms: 3x + 7x = 10x
1 + 10x = x

Solving
1 + 10x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 10x + -1x = x + -1x

Combine like terms: 10x + -1x = 9x
1 + 9x = x + -1x

Combine like terms: x + -1x = 0
1 + 9x = 0

Add '-1' to each side of the equation.
1 + -1 + 9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 0 + -1
9x = 0 + -1

Combine like terms: 0 + -1 = -1
9x = -1

Divide each side by '9'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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