-5(3x-33)=2(x-10)-21

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Solution for -5(3x-33)=2(x-10)-21 equation: 


Simplifying
-5(3x + -33) = 2(x + -10) + -21

Reorder the terms:
-5(-33 + 3x) = 2(x + -10) + -21
(-33 * -5 + 3x * -5) = 2(x + -10) + -21
(165 + -15x) = 2(x + -10) + -21

Reorder the terms:
165 + -15x = 2(-10 + x) + -21
165 + -15x = (-10 * 2 + x * 2) + -21
165 + -15x = (-20 + 2x) + -21

Reorder the terms:
165 + -15x = -20 + -21 + 2x

Combine like terms: -20 + -21 = -41
165 + -15x = -41 + 2x

Solving
165 + -15x = -41 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
165 + -15x + -2x = -41 + 2x + -2x

Combine like terms: -15x + -2x = -17x
165 + -17x = -41 + 2x + -2x

Combine like terms: 2x + -2x = 0
165 + -17x = -41 + 0
165 + -17x = -41

Add '-165' to each side of the equation.
165 + -165 + -17x = -41 + -165

Combine like terms: 165 + -165 = 0
0 + -17x = -41 + -165
-17x = -41 + -165

Combine like terms: -41 + -165 = -206
-17x = -206

Divide each side by '-17'.
x = 12.11764706

Simplifying
x = 12.11764706

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