(5x-3)+(4x-3)+(x+6)+(3x+4)=180

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Solution for (5x-3)+(4x-3)+(x+6)+(3x+4)=180 equation:


Simplifying
(5x + -3) + (4x + -3) + (x + 6) + (3x + 4) = 180

Reorder the terms:
(-3 + 5x) + (4x + -3) + (x + 6) + (3x + 4) = 180

Remove parenthesis around (-3 + 5x)
-3 + 5x + (4x + -3) + (x + 6) + (3x + 4) = 180

Reorder the terms:
-3 + 5x + (-3 + 4x) + (x + 6) + (3x + 4) = 180

Remove parenthesis around (-3 + 4x)
-3 + 5x + -3 + 4x + (x + 6) + (3x + 4) = 180

Reorder the terms:
-3 + 5x + -3 + 4x + (6 + x) + (3x + 4) = 180

Remove parenthesis around (6 + x)
-3 + 5x + -3 + 4x + 6 + x + (3x + 4) = 180

Reorder the terms:
-3 + 5x + -3 + 4x + 6 + x + (4 + 3x) = 180

Remove parenthesis around (4 + 3x)
-3 + 5x + -3 + 4x + 6 + x + 4 + 3x = 180

Reorder the terms:
-3 + -3 + 6 + 4 + 5x + 4x + x + 3x = 180

Combine like terms: -3 + -3 = -6
-6 + 6 + 4 + 5x + 4x + x + 3x = 180

Combine like terms: -6 + 6 = 0
0 + 4 + 5x + 4x + x + 3x = 180
4 + 5x + 4x + x + 3x = 180

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

Combine like terms: 9x + x = 10x
4 + 10x + 3x = 180

Combine like terms: 10x + 3x = 13x
4 + 13x = 180

Solving
4 + 13x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 13x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 13x = 180 + -4
13x = 180 + -4

Combine like terms: 180 + -4 = 176
13x = 176

Divide each side by '13'.
x = 13.53846154

Simplifying
x = 13.53846154

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