3x+5x+(3x+7)+(5x-15)=360

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Solution for 3x+5x+(3x+7)+(5x-15)=360 equation:


Simplifying
3x + 5x + (3x + 7) + (5x + -15) = 360

Reorder the terms:
3x + 5x + (7 + 3x) + (5x + -15) = 360

Remove parenthesis around (7 + 3x)
3x + 5x + 7 + 3x + (5x + -15) = 360

Reorder the terms:
3x + 5x + 7 + 3x + (-15 + 5x) = 360

Remove parenthesis around (-15 + 5x)
3x + 5x + 7 + 3x + -15 + 5x = 360

Reorder the terms:
7 + -15 + 3x + 5x + 3x + 5x = 360

Combine like terms: 7 + -15 = -8
-8 + 3x + 5x + 3x + 5x = 360

Combine like terms: 3x + 5x = 8x
-8 + 8x + 3x + 5x = 360

Combine like terms: 8x + 3x = 11x
-8 + 11x + 5x = 360

Combine like terms: 11x + 5x = 16x
-8 + 16x = 360

Solving
-8 + 16x = 360

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 + 16x = 360 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = 360 + 8
16x = 360 + 8

Combine like terms: 360 + 8 = 368
16x = 368

Divide each side by '16'.
x = 23

Simplifying
x = 23

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