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

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


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

Reorder the terms:
2(-33 + x) + 3(x + -2) = 8
(-33 * 2 + x * 2) + 3(x + -2) = 8
(-66 + 2x) + 3(x + -2) = 8

Reorder the terms:
-66 + 2x + 3(-2 + x) = 8
-66 + 2x + (-2 * 3 + x * 3) = 8
-66 + 2x + (-6 + 3x) = 8

Reorder the terms:
-66 + -6 + 2x + 3x = 8

Combine like terms: -66 + -6 = -72
-72 + 2x + 3x = 8

Combine like terms: 2x + 3x = 5x
-72 + 5x = 8

Solving
-72 + 5x = 8

Solving for variable 'x'.

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

Add '72' to each side of the equation.
-72 + 72 + 5x = 8 + 72

Combine like terms: -72 + 72 = 0
0 + 5x = 8 + 72
5x = 8 + 72

Combine like terms: 8 + 72 = 80
5x = 80

Divide each side by '5'.
x = 16

Simplifying
x = 16

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