(2x+14)+(5x-2)=180

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Solution for (2x+14)+(5x-2)=180 equation:


Simplifying
(2x + 14) + (5x + -2) = 180

Reorder the terms:
(14 + 2x) + (5x + -2) = 180

Remove parenthesis around (14 + 2x)
14 + 2x + (5x + -2) = 180

Reorder the terms:
14 + 2x + (-2 + 5x) = 180

Remove parenthesis around (-2 + 5x)
14 + 2x + -2 + 5x = 180

Reorder the terms:
14 + -2 + 2x + 5x = 180

Combine like terms: 14 + -2 = 12
12 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
12 + 7x = 180

Solving
12 + 7x = 180

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 7x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 180 + -12
7x = 180 + -12

Combine like terms: 180 + -12 = 168
7x = 168

Divide each side by '7'.
x = 24

Simplifying
x = 24

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