2(x+2)+4(x-2)=33

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Solution for 2(x+2)+4(x-2)=33 equation: 


Simplifying
2(x + 2) + 4(x + -2) = 33

Reorder the terms:
2(2 + x) + 4(x + -2) = 33
(2 * 2 + x * 2) + 4(x + -2) = 33
(4 + 2x) + 4(x + -2) = 33

Reorder the terms:
4 + 2x + 4(-2 + x) = 33
4 + 2x + (-2 * 4 + x * 4) = 33
4 + 2x + (-8 + 4x) = 33

Reorder the terms:
4 + -8 + 2x + 4x = 33

Combine like terms: 4 + -8 = -4
-4 + 2x + 4x = 33

Combine like terms: 2x + 4x = 6x
-4 + 6x = 33

Solving
-4 + 6x = 33

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 6x = 33 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 33 + 4
6x = 33 + 4

Combine like terms: 33 + 4 = 37
6x = 37

Divide each side by '6'.
x = 6.166666667

Simplifying
x = 6.166666667

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