x+.5+(x+35)+(x-46)=360

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Solution for x+.5+(x+35)+(x-46)=360 equation:


Simplifying
x + 0.5 + (x + 35) + (x + -46) = 360

Reorder the terms:
x + 0.5 + (35 + x) + (x + -46) = 360

Remove parenthesis around (35 + x)
x + 0.5 + 35 + x + (x + -46) = 360

Reorder the terms:
x + 0.5 + 35 + x + (-46 + x) = 360

Remove parenthesis around (-46 + x)
x + 0.5 + 35 + x + -46 + x = 360

Reorder the terms:
0.5 + 35 + -46 + x + x + x = 360

Combine like terms: 0.5 + 35 = 35.5
35.5 + -46 + x + x + x = 360

Combine like terms: 35.5 + -46 = -10.5
-10.5 + x + x + x = 360

Combine like terms: x + x = 2x
-10.5 + 2x + x = 360

Combine like terms: 2x + x = 3x
-10.5 + 3x = 360

Solving
-10.5 + 3x = 360

Solving for variable 'x'.

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

Add '10.5' to each side of the equation.
-10.5 + 10.5 + 3x = 360 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + 3x = 360 + 10.5
3x = 360 + 10.5

Combine like terms: 360 + 10.5 = 370.5
3x = 370.5

Divide each side by '3'.
x = 123.5

Simplifying
x = 123.5

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