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

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


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

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

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

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

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

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

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

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

Combine like terms: 8 + 5 = 13
13 + -1 + 7x + 4x + 3x = 180

Combine like terms: 13 + -1 = 12
12 + 7x + 4x + 3x = 180

Combine like terms: 7x + 4x = 11x
12 + 11x + 3x = 180

Combine like terms: 11x + 3x = 14x
12 + 14x = 180

Solving
12 + 14x = 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 + 14x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 14x = 180 + -12
14x = 180 + -12

Combine like terms: 180 + -12 = 168
14x = 168

Divide each side by '14'.
x = 12

Simplifying
x = 12

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