(13x-21)+(8x-6)+(x+4)=180

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Solution for (13x-21)+(8x-6)+(x+4)=180 equation:


Simplifying
(13x + -21) + (8x + -6) + (x + 4) = 180

Reorder the terms:
(-21 + 13x) + (8x + -6) + (x + 4) = 180

Remove parenthesis around (-21 + 13x)
-21 + 13x + (8x + -6) + (x + 4) = 180

Reorder the terms:
-21 + 13x + (-6 + 8x) + (x + 4) = 180

Remove parenthesis around (-6 + 8x)
-21 + 13x + -6 + 8x + (x + 4) = 180

Reorder the terms:
-21 + 13x + -6 + 8x + (4 + x) = 180

Remove parenthesis around (4 + x)
-21 + 13x + -6 + 8x + 4 + x = 180

Reorder the terms:
-21 + -6 + 4 + 13x + 8x + x = 180

Combine like terms: -21 + -6 = -27
-27 + 4 + 13x + 8x + x = 180

Combine like terms: -27 + 4 = -23
-23 + 13x + 8x + x = 180

Combine like terms: 13x + 8x = 21x
-23 + 21x + x = 180

Combine like terms: 21x + x = 22x
-23 + 22x = 180

Solving
-23 + 22x = 180

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 22x = 180 + 23

Combine like terms: -23 + 23 = 0
0 + 22x = 180 + 23
22x = 180 + 23

Combine like terms: 180 + 23 = 203
22x = 203

Divide each side by '22'.
x = 9.227272727

Simplifying
x = 9.227272727

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