33-(3)=3(x-2)+17

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Solution for 33-(3)=3(x-2)+17 equation:


Simplifying
33 + -1(3) = 3(x + -2) + 17

Multiply -1 * 3
33 + -3 = 3(x + -2) + 17

Combine like terms: 33 + -3 = 30
30 = 3(x + -2) + 17

Reorder the terms:
30 = 3(-2 + x) + 17
30 = (-2 * 3 + x * 3) + 17
30 = (-6 + 3x) + 17

Reorder the terms:
30 = -6 + 17 + 3x

Combine like terms: -6 + 17 = 11
30 = 11 + 3x

Solving
30 = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + -3x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -3x = 11 + 0
30 + -3x = 11

Add '-30' to each side of the equation.
30 + -30 + -3x = 11 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = 11 + -30
-3x = 11 + -30

Combine like terms: 11 + -30 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333

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