(2x-3)+(5x-33)=180

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Solution for (2x-3)+(5x-33)=180 equation:


Simplifying
(2x + -3) + (5x + -33) = 180

Reorder the terms:
(-3 + 2x) + (5x + -33) = 180

Remove parenthesis around (-3 + 2x)
-3 + 2x + (5x + -33) = 180

Reorder the terms:
-3 + 2x + (-33 + 5x) = 180

Remove parenthesis around (-33 + 5x)
-3 + 2x + -33 + 5x = 180

Reorder the terms:
-3 + -33 + 2x + 5x = 180

Combine like terms: -3 + -33 = -36
-36 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
-36 + 7x = 180

Solving
-36 + 7x = 180

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 7x = 180 + 36

Combine like terms: -36 + 36 = 0
0 + 7x = 180 + 36
7x = 180 + 36

Combine like terms: 180 + 36 = 216
7x = 216

Divide each side by '7'.
x = 30.85714286

Simplifying
x = 30.85714286

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