2x+2=4(x-20)-2

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Solution for 2x+2=4(x-20)-2 equation: 


Simplifying
2x + 2 = 4(x + -20) + -2

Reorder the terms:
2 + 2x = 4(x + -20) + -2

Reorder the terms:
2 + 2x = 4(-20 + x) + -2
2 + 2x = (-20 * 4 + x * 4) + -2
2 + 2x = (-80 + 4x) + -2

Reorder the terms:
2 + 2x = -80 + -2 + 4x

Combine like terms: -80 + -2 = -82
2 + 2x = -82 + 4x

Solving
2 + 2x = -82 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 2x + -4x = -82 + 4x + -4x

Combine like terms: 2x + -4x = -2x
2 + -2x = -82 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -2x = -82 + 0
2 + -2x = -82

Add '-2' to each side of the equation.
2 + -2 + -2x = -82 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -82 + -2
-2x = -82 + -2

Combine like terms: -82 + -2 = -84
-2x = -84

Divide each side by '-2'.
x = 42

Simplifying
x = 42

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