(3x+12)+(2x-2)=280

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Solution for (3x+12)+(2x-2)=280 equation:


Simplifying
(3x + 12) + (2x + -2) = 280

Reorder the terms:
(12 + 3x) + (2x + -2) = 280

Remove parenthesis around (12 + 3x)
12 + 3x + (2x + -2) = 280

Reorder the terms:
12 + 3x + (-2 + 2x) = 280

Remove parenthesis around (-2 + 2x)
12 + 3x + -2 + 2x = 280

Reorder the terms:
12 + -2 + 3x + 2x = 280

Combine like terms: 12 + -2 = 10
10 + 3x + 2x = 280

Combine like terms: 3x + 2x = 5x
10 + 5x = 280

Solving
10 + 5x = 280

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 5x = 280 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 280 + -10
5x = 280 + -10

Combine like terms: 280 + -10 = 270
5x = 270

Divide each side by '5'.
x = 54

Simplifying
x = 54

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