2(2+8x)-5(x+3)=-33

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Solution for 2(2+8x)-5(x+3)=-33 equation: 


Simplifying
2(2 + 8x) + -5(x + 3) = -33
(2 * 2 + 8x * 2) + -5(x + 3) = -33
(4 + 16x) + -5(x + 3) = -33

Reorder the terms:
4 + 16x + -5(3 + x) = -33
4 + 16x + (3 * -5 + x * -5) = -33
4 + 16x + (-15 + -5x) = -33

Reorder the terms:
4 + -15 + 16x + -5x = -33

Combine like terms: 4 + -15 = -11
-11 + 16x + -5x = -33

Combine like terms: 16x + -5x = 11x
-11 + 11x = -33

Solving
-11 + 11x = -33

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 11x = -33 + 11

Combine like terms: -11 + 11 = 0
0 + 11x = -33 + 11
11x = -33 + 11

Combine like terms: -33 + 11 = -22
11x = -22

Divide each side by '11'.
x = -2

Simplifying
x = -2

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