(3x+1)+(7x+8)+(4x+5)=180

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Solution for (3x+1)+(7x+8)+(4x+5)=180 equation:


Simplifying
(3x + 1) + (7x + 8) + (4x + 5) = 180

Reorder the terms:
(1 + 3x) + (7x + 8) + (4x + 5) = 180

Remove parenthesis around (1 + 3x)
1 + 3x + (7x + 8) + (4x + 5) = 180

Reorder the terms:
1 + 3x + (8 + 7x) + (4x + 5) = 180

Remove parenthesis around (8 + 7x)
1 + 3x + 8 + 7x + (4x + 5) = 180

Reorder the terms:
1 + 3x + 8 + 7x + (5 + 4x) = 180

Remove parenthesis around (5 + 4x)
1 + 3x + 8 + 7x + 5 + 4x = 180

Reorder the terms:
1 + 8 + 5 + 3x + 7x + 4x = 180

Combine like terms: 1 + 8 = 9
9 + 5 + 3x + 7x + 4x = 180

Combine like terms: 9 + 5 = 14
14 + 3x + 7x + 4x = 180

Combine like terms: 3x + 7x = 10x
14 + 10x + 4x = 180

Combine like terms: 10x + 4x = 14x
14 + 14x = 180

Solving
14 + 14x = 180

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 14x = 180 + -14

Combine like terms: 14 + -14 = 0
0 + 14x = 180 + -14
14x = 180 + -14

Combine like terms: 180 + -14 = 166
14x = 166

Divide each side by '14'.
x = 11.85714286

Simplifying
x = 11.85714286

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