(2x+5)+(x+1)+(7x-16)=180

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Solution for (2x+5)+(x+1)+(7x-16)=180 equation:


Simplifying
(2x + 5) + (x + 1) + (7x + -16) = 180

Reorder the terms:
(5 + 2x) + (x + 1) + (7x + -16) = 180

Remove parenthesis around (5 + 2x)
5 + 2x + (x + 1) + (7x + -16) = 180

Reorder the terms:
5 + 2x + (1 + x) + (7x + -16) = 180

Remove parenthesis around (1 + x)
5 + 2x + 1 + x + (7x + -16) = 180

Reorder the terms:
5 + 2x + 1 + x + (-16 + 7x) = 180

Remove parenthesis around (-16 + 7x)
5 + 2x + 1 + x + -16 + 7x = 180

Reorder the terms:
5 + 1 + -16 + 2x + x + 7x = 180

Combine like terms: 5 + 1 = 6
6 + -16 + 2x + x + 7x = 180

Combine like terms: 6 + -16 = -10
-10 + 2x + x + 7x = 180

Combine like terms: 2x + x = 3x
-10 + 3x + 7x = 180

Combine like terms: 3x + 7x = 10x
-10 + 10x = 180

Solving
-10 + 10x = 180

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 + 10x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 180 + 10
10x = 180 + 10

Combine like terms: 180 + 10 = 190
10x = 190

Divide each side by '10'.
x = 19

Simplifying
x = 19

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