(5x+2)+(5x+2)+(8x+9)+(8x+9)=360

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Solution for (5x+2)+(5x+2)+(8x+9)+(8x+9)=360 equation:


Simplifying
(5x + 2) + (5x + 2) + (8x + 9) + (8x + 9) = 360

Reorder the terms:
(2 + 5x) + (5x + 2) + (8x + 9) + (8x + 9) = 360

Remove parenthesis around (2 + 5x)
2 + 5x + (5x + 2) + (8x + 9) + (8x + 9) = 360

Reorder the terms:
2 + 5x + (2 + 5x) + (8x + 9) + (8x + 9) = 360

Remove parenthesis around (2 + 5x)
2 + 5x + 2 + 5x + (8x + 9) + (8x + 9) = 360

Reorder the terms:
2 + 5x + 2 + 5x + (9 + 8x) + (8x + 9) = 360

Remove parenthesis around (9 + 8x)
2 + 5x + 2 + 5x + 9 + 8x + (8x + 9) = 360

Reorder the terms:
2 + 5x + 2 + 5x + 9 + 8x + (9 + 8x) = 360

Remove parenthesis around (9 + 8x)
2 + 5x + 2 + 5x + 9 + 8x + 9 + 8x = 360

Reorder the terms:
2 + 2 + 9 + 9 + 5x + 5x + 8x + 8x = 360

Combine like terms: 2 + 2 = 4
4 + 9 + 9 + 5x + 5x + 8x + 8x = 360

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

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

Combine like terms: 5x + 5x = 10x
22 + 10x + 8x + 8x = 360

Combine like terms: 10x + 8x = 18x
22 + 18x + 8x = 360

Combine like terms: 18x + 8x = 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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