(9x-43)+(4x+8)+(8x+9)+(5x+48)=360

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Solution for (9x-43)+(4x+8)+(8x+9)+(5x+48)=360 equation:


Simplifying
(9x + -43) + (4x + 8) + (8x + 9) + (5x + 48) = 360

Reorder the terms:
(-43 + 9x) + (4x + 8) + (8x + 9) + (5x + 48) = 360

Remove parenthesis around (-43 + 9x)
-43 + 9x + (4x + 8) + (8x + 9) + (5x + 48) = 360

Reorder the terms:
-43 + 9x + (8 + 4x) + (8x + 9) + (5x + 48) = 360

Remove parenthesis around (8 + 4x)
-43 + 9x + 8 + 4x + (8x + 9) + (5x + 48) = 360

Reorder the terms:
-43 + 9x + 8 + 4x + (9 + 8x) + (5x + 48) = 360

Remove parenthesis around (9 + 8x)
-43 + 9x + 8 + 4x + 9 + 8x + (5x + 48) = 360

Reorder the terms:
-43 + 9x + 8 + 4x + 9 + 8x + (48 + 5x) = 360

Remove parenthesis around (48 + 5x)
-43 + 9x + 8 + 4x + 9 + 8x + 48 + 5x = 360

Reorder the terms:
-43 + 8 + 9 + 48 + 9x + 4x + 8x + 5x = 360

Combine like terms: -43 + 8 = -35
-35 + 9 + 48 + 9x + 4x + 8x + 5x = 360

Combine like terms: -35 + 9 = -26
-26 + 48 + 9x + 4x + 8x + 5x = 360

Combine like terms: -26 + 48 = 22
22 + 9x + 4x + 8x + 5x = 360

Combine like terms: 9x + 4x = 13x
22 + 13x + 8x + 5x = 360

Combine like terms: 13x + 8x = 21x
22 + 21x + 5x = 360

Combine like terms: 21x + 5x = 26x
22 + 26x = 360

Solving
22 + 26x = 360

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 26x = 360 + -22

Combine like terms: 22 + -22 = 0
0 + 26x = 360 + -22
26x = 360 + -22

Combine like terms: 360 + -22 = 338
26x = 338

Divide each side by '26'.
x = 13

Simplifying
x = 13

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