2x+(x+7)+(4x-16)=180

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Solution for 2x+(x+7)+(4x-16)=180 equation:


Simplifying
2x + (x + 7) + (4x + -16) = 180

Reorder the terms:
2x + (7 + x) + (4x + -16) = 180

Remove parenthesis around (7 + x)
2x + 7 + x + (4x + -16) = 180

Reorder the terms:
2x + 7 + x + (-16 + 4x) = 180

Remove parenthesis around (-16 + 4x)
2x + 7 + x + -16 + 4x = 180

Reorder the terms:
7 + -16 + 2x + x + 4x = 180

Combine like terms: 7 + -16 = -9
-9 + 2x + x + 4x = 180

Combine like terms: 2x + x = 3x
-9 + 3x + 4x = 180

Combine like terms: 3x + 4x = 7x
-9 + 7x = 180

Solving
-9 + 7x = 180

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 7x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 180 + 9
7x = 180 + 9

Combine like terms: 180 + 9 = 189
7x = 189

Divide each side by '7'.
x = 27

Simplifying
x = 27

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