(4x+14)+(3x-2)+(6x-4)=180

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Solution for (4x+14)+(3x-2)+(6x-4)=180 equation:


Simplifying
(4x + 14) + (3x + -2) + (6x + -4) = 180

Reorder the terms:
(14 + 4x) + (3x + -2) + (6x + -4) = 180

Remove parenthesis around (14 + 4x)
14 + 4x + (3x + -2) + (6x + -4) = 180

Reorder the terms:
14 + 4x + (-2 + 3x) + (6x + -4) = 180

Remove parenthesis around (-2 + 3x)
14 + 4x + -2 + 3x + (6x + -4) = 180

Reorder the terms:
14 + 4x + -2 + 3x + (-4 + 6x) = 180

Remove parenthesis around (-4 + 6x)
14 + 4x + -2 + 3x + -4 + 6x = 180

Reorder the terms:
14 + -2 + -4 + 4x + 3x + 6x = 180

Combine like terms: 14 + -2 = 12
12 + -4 + 4x + 3x + 6x = 180

Combine like terms: 12 + -4 = 8
8 + 4x + 3x + 6x = 180

Combine like terms: 4x + 3x = 7x
8 + 7x + 6x = 180

Combine like terms: 7x + 6x = 13x
8 + 13x = 180

Solving
8 + 13x = 180

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 13x = 180 + -8

Combine like terms: 8 + -8 = 0
0 + 13x = 180 + -8
13x = 180 + -8

Combine like terms: 180 + -8 = 172
13x = 172

Divide each side by '13'.
x = 13.23076923

Simplifying
x = 13.23076923

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