1-(1x+1)=5x+(2-7x)

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Solution for 1-(1x+1)=5x+(2-7x) equation:


Simplifying
1 + -1(1x + 1) = 5x + (2 + -7x)

Reorder the terms:
1 + -1(1 + 1x) = 5x + (2 + -7x)
1 + (1 * -1 + 1x * -1) = 5x + (2 + -7x)
1 + (-1 + -1x) = 5x + (2 + -7x)

Combine like terms: 1 + -1 = 0
0 + -1x = 5x + (2 + -7x)
-1x = 5x + (2 + -7x)

Remove parenthesis around (2 + -7x)
-1x = 5x + 2 + -7x

Reorder the terms:
-1x = 2 + 5x + -7x

Combine like terms: 5x + -7x = -2x
-1x = 2 + -2x

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

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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