5x+33=3(6x-10)+11

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Solution for 5x+33=3(6x-10)+11 equation: 


Simplifying
5x + 33 = 3(6x + -10) + 11

Reorder the terms:
33 + 5x = 3(6x + -10) + 11

Reorder the terms:
33 + 5x = 3(-10 + 6x) + 11
33 + 5x = (-10 * 3 + 6x * 3) + 11
33 + 5x = (-30 + 18x) + 11

Reorder the terms:
33 + 5x = -30 + 11 + 18x

Combine like terms: -30 + 11 = -19
33 + 5x = -19 + 18x

Solving
33 + 5x = -19 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
33 + 5x + -18x = -19 + 18x + -18x

Combine like terms: 5x + -18x = -13x
33 + -13x = -19 + 18x + -18x

Combine like terms: 18x + -18x = 0
33 + -13x = -19 + 0
33 + -13x = -19

Add '-33' to each side of the equation.
33 + -33 + -13x = -19 + -33

Combine like terms: 33 + -33 = 0
0 + -13x = -19 + -33
-13x = -19 + -33

Combine like terms: -19 + -33 = -52
-13x = -52

Divide each side by '-13'.
x = 4

Simplifying
x = 4

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