3(5-x)-2(2+4x)=33

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Solution for 3(5-x)-2(2+4x)=33 equation: 


Simplifying
3(5 + -1x) + -2(2 + 4x) = 33
(5 * 3 + -1x * 3) + -2(2 + 4x) = 33
(15 + -3x) + -2(2 + 4x) = 33
15 + -3x + (2 * -2 + 4x * -2) = 33
15 + -3x + (-4 + -8x) = 33

Reorder the terms:
15 + -4 + -3x + -8x = 33

Combine like terms: 15 + -4 = 11
11 + -3x + -8x = 33

Combine like terms: -3x + -8x = -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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