(2x-8)+(3x-27)=180

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Solution for (2x-8)+(3x-27)=180 equation:


Simplifying
(2x + -8) + (3x + -27) = 180

Reorder the terms:
(-8 + 2x) + (3x + -27) = 180

Remove parenthesis around (-8 + 2x)
-8 + 2x + (3x + -27) = 180

Reorder the terms:
-8 + 2x + (-27 + 3x) = 180

Remove parenthesis around (-27 + 3x)
-8 + 2x + -27 + 3x = 180

Reorder the terms:
-8 + -27 + 2x + 3x = 180

Combine like terms: -8 + -27 = -35
-35 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
-35 + 5x = 180

Solving
-35 + 5x = 180

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + 5x = 180 + 35

Combine like terms: -35 + 35 = 0
0 + 5x = 180 + 35
5x = 180 + 35

Combine like terms: 180 + 35 = 215
5x = 215

Divide each side by '5'.
x = 43

Simplifying
x = 43

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