x+(x-35)+(x-46)+1.5=360

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Solution for x+(x-35)+(x-46)+1.5=360 equation:


Simplifying
x + (x + -35) + (x + -46) + 1.5 = 360

Reorder the terms:
x + (-35 + x) + (x + -46) + 1.5 = 360

Remove parenthesis around (-35 + x)
x + -35 + x + (x + -46) + 1.5 = 360

Reorder the terms:
x + -35 + x + (-46 + x) + 1.5 = 360

Remove parenthesis around (-46 + x)
x + -35 + x + -46 + x + 1.5 = 360

Reorder the terms:
-35 + -46 + 1.5 + x + x + x = 360

Combine like terms: -35 + -46 = -81
-81 + 1.5 + x + x + x = 360

Combine like terms: -81 + 1.5 = -79.5
-79.5 + x + x + x = 360

Combine like terms: x + x = 2x
-79.5 + 2x + x = 360

Combine like terms: 2x + x = 3x
-79.5 + 3x = 360

Solving
-79.5 + 3x = 360

Solving for variable 'x'.

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

Add '79.5' to each side of the equation.
-79.5 + 79.5 + 3x = 360 + 79.5

Combine like terms: -79.5 + 79.5 = 0.0
0.0 + 3x = 360 + 79.5
3x = 360 + 79.5

Combine like terms: 360 + 79.5 = 439.5
3x = 439.5

Divide each side by '3'.
x = 146.5

Simplifying
x = 146.5

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