(8x+6)+(7x+4)+(6x+2)=180

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Solution for (8x+6)+(7x+4)+(6x+2)=180 equation:


Simplifying
(8x + 6) + (7x + 4) + (6x + 2) = 180

Reorder the terms:
(6 + 8x) + (7x + 4) + (6x + 2) = 180

Remove parenthesis around (6 + 8x)
6 + 8x + (7x + 4) + (6x + 2) = 180

Reorder the terms:
6 + 8x + (4 + 7x) + (6x + 2) = 180

Remove parenthesis around (4 + 7x)
6 + 8x + 4 + 7x + (6x + 2) = 180

Reorder the terms:
6 + 8x + 4 + 7x + (2 + 6x) = 180

Remove parenthesis around (2 + 6x)
6 + 8x + 4 + 7x + 2 + 6x = 180

Reorder the terms:
6 + 4 + 2 + 8x + 7x + 6x = 180

Combine like terms: 6 + 4 = 10
10 + 2 + 8x + 7x + 6x = 180

Combine like terms: 10 + 2 = 12
12 + 8x + 7x + 6x = 180

Combine like terms: 8x + 7x = 15x
12 + 15x + 6x = 180

Combine like terms: 15x + 6x = 21x
12 + 21x = 180

Solving
12 + 21x = 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 + 21x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 21x = 180 + -12
21x = 180 + -12

Combine like terms: 180 + -12 = 168
21x = 168

Divide each side by '21'.
x = 8

Simplifying
x = 8

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