(3-7x)+(5x+1)=x

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Solution for (3-7x)+(5x+1)=x equation:


Simplifying
(3 + -7x) + (5x + 1) = x

Remove parenthesis around (3 + -7x)
3 + -7x + (5x + 1) = x

Reorder the terms:
3 + -7x + (1 + 5x) = x

Remove parenthesis around (1 + 5x)
3 + -7x + 1 + 5x = x

Reorder the terms:
3 + 1 + -7x + 5x = x

Combine like terms: 3 + 1 = 4
4 + -7x + 5x = x

Combine like terms: -7x + 5x = -2x
4 + -2x = x

Solving
4 + -2x = 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.
4 + -2x + -1x = x + -1x

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

Combine like terms: x + -1x = 0
4 + -3x = 0

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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