34-(2x+2)=4(x+1)+x

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Solution for 34-(2x+2)=4(x+1)+x equation: 


Simplifying
34 + -1(2x + 2) = 4(x + 1) + x

Reorder the terms:
34 + -1(2 + 2x) = 4(x + 1) + x
34 + (2 * -1 + 2x * -1) = 4(x + 1) + x
34 + (-2 + -2x) = 4(x + 1) + x

Combine like terms: 34 + -2 = 32
32 + -2x = 4(x + 1) + x

Reorder the terms:
32 + -2x = 4(1 + x) + x
32 + -2x = (1 * 4 + x * 4) + x
32 + -2x = (4 + 4x) + x

Combine like terms: 4x + x = 5x
32 + -2x = 4 + 5x

Solving
32 + -2x = 4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
32 + -2x + -5x = 4 + 5x + -5x

Combine like terms: -2x + -5x = -7x
32 + -7x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + -7x = 4 + 0
32 + -7x = 4

Add '-32' to each side of the equation.
32 + -32 + -7x = 4 + -32

Combine like terms: 32 + -32 = 0
0 + -7x = 4 + -32
-7x = 4 + -32

Combine like terms: 4 + -32 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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