(x-30)+(2x-176)+(.5x+15)=180

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Solution for (x-30)+(2x-176)+(.5x+15)=180 equation:


Simplifying
(x + -30) + (2x + -176) + (0.5x + 15) = 180

Reorder the terms:
(-30 + x) + (2x + -176) + (0.5x + 15) = 180

Remove parenthesis around (-30 + x)
-30 + x + (2x + -176) + (0.5x + 15) = 180

Reorder the terms:
-30 + x + (-176 + 2x) + (0.5x + 15) = 180

Remove parenthesis around (-176 + 2x)
-30 + x + -176 + 2x + (0.5x + 15) = 180

Reorder the terms:
-30 + x + -176 + 2x + (15 + 0.5x) = 180

Remove parenthesis around (15 + 0.5x)
-30 + x + -176 + 2x + 15 + 0.5x = 180

Reorder the terms:
-30 + -176 + 15 + x + 2x + 0.5x = 180

Combine like terms: -30 + -176 = -206
-206 + 15 + x + 2x + 0.5x = 180

Combine like terms: -206 + 15 = -191
-191 + x + 2x + 0.5x = 180

Combine like terms: x + 2x = 3x
-191 + 3x + 0.5x = 180

Combine like terms: 3x + 0.5x = 3.5x
-191 + 3.5x = 180

Solving
-191 + 3.5x = 180

Solving for variable 'x'.

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

Add '191' to each side of the equation.
-191 + 191 + 3.5x = 180 + 191

Combine like terms: -191 + 191 = 0
0 + 3.5x = 180 + 191
3.5x = 180 + 191

Combine like terms: 180 + 191 = 371
3.5x = 371

Divide each side by '3.5'.
x = 106

Simplifying
x = 106

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