34-(2x+2)=(x+1)+x

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Solution for 34-(2x+2)=(x+1)+x equation: 


Simplifying
34 + -1(2x + 2) = (x + 1) + x

Reorder the terms:
34 + -1(2 + 2x) = (x + 1) + x
34 + (2 * -1 + 2x * -1) = (x + 1) + x
34 + (-2 + -2x) = (x + 1) + x

Combine like terms: 34 + -2 = 32
32 + -2x = (x + 1) + x

Reorder the terms:
32 + -2x = (1 + x) + x

Remove parenthesis around (1 + x)
32 + -2x = 1 + x + x

Combine like terms: x + x = 2x
32 + -2x = 1 + 2x

Solving
32 + -2x = 1 + 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.
32 + -2x + -2x = 1 + 2x + -2x

Combine like terms: -2x + -2x = -4x
32 + -4x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + -4x = 1 + 0
32 + -4x = 1

Add '-32' to each side of the equation.
32 + -32 + -4x = 1 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = 1 + -32
-4x = 1 + -32

Combine like terms: 1 + -32 = -31
-4x = -31

Divide each side by '-4'.
x = 7.75

Simplifying
x = 7.75

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