33=x+1+2x+2(x+1)

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Solution for 33=x+1+2x+2(x+1) equation:


Simplifying
33 = x + 1 + 2x + 2(x + 1)

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

Reorder the terms:
33 = 1 + 2 + x + 2x + 2x

Combine like terms: 1 + 2 = 3
33 = 3 + x + 2x + 2x

Combine like terms: x + 2x = 3x
33 = 3 + 3x + 2x

Combine like terms: 3x + 2x = 5x
33 = 3 + 5x

Solving
33 = 3 + 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.
33 + -5x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
33 + -5x = 3 + 0
33 + -5x = 3

Add '-33' to each side of the equation.
33 + -33 + -5x = 3 + -33

Combine like terms: 33 + -33 = 0
0 + -5x = 3 + -33
-5x = 3 + -33

Combine like terms: 3 + -33 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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