(5x+1)=-3x+(-x+2)

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Solution for (5x+1)=-3x+(-x+2) equation:


Simplifying
(5x + 1) = -3x + (-1x + 2)

Reorder the terms:
(1 + 5x) = -3x + (-1x + 2)

Remove parenthesis around (1 + 5x)
1 + 5x = -3x + (-1x + 2)

Reorder the terms:
1 + 5x = -3x + (2 + -1x)

Remove parenthesis around (2 + -1x)
1 + 5x = -3x + 2 + -1x

Reorder the terms:
1 + 5x = 2 + -3x + -1x

Combine like terms: -3x + -1x = -4x
1 + 5x = 2 + -4x

Solving
1 + 5x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
1 + 5x + 4x = 2 + -4x + 4x

Combine like terms: 5x + 4x = 9x
1 + 9x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
1 + 9x = 2 + 0
1 + 9x = 2

Add '-1' to each side of the equation.
1 + -1 + 9x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 2 + -1
9x = 2 + -1

Combine like terms: 2 + -1 = 1
9x = 1

Divide each side by '9'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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