x+(x-46)+(x-35)+0.5x=180

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Solution for x+(x-46)+(x-35)+0.5x=180 equation:


Simplifying
x + (x + -46) + (x + -35) + 0.5x = 180

Reorder the terms:
x + (-46 + x) + (x + -35) + 0.5x = 180

Remove parenthesis around (-46 + x)
x + -46 + x + (x + -35) + 0.5x = 180

Reorder the terms:
x + -46 + x + (-35 + x) + 0.5x = 180

Remove parenthesis around (-35 + x)
x + -46 + x + -35 + x + 0.5x = 180

Reorder the terms:
-46 + -35 + x + x + x + 0.5x = 180

Combine like terms: -46 + -35 = -81
-81 + x + x + x + 0.5x = 180

Combine like terms: x + x = 2x
-81 + 2x + x + 0.5x = 180

Combine like terms: 2x + x = 3x
-81 + 3x + 0.5x = 180

Combine like terms: 3x + 0.5x = 3.5x
-81 + 3.5x = 180

Solving
-81 + 3.5x = 180

Solving for variable 'x'.

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

Add '81' to each side of the equation.
-81 + 81 + 3.5x = 180 + 81

Combine like terms: -81 + 81 = 0
0 + 3.5x = 180 + 81
3.5x = 180 + 81

Combine like terms: 180 + 81 = 261
3.5x = 261

Divide each side by '3.5'.
x = 74.57142857

Simplifying
x = 74.57142857

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