3x-218+x-30+.5x+14=180

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Solution for 3x-218+x-30+.5x+14=180 equation:


Simplifying
3x + -218 + x + -30 + 0.5x + 14 = 180

Reorder the terms:
-218 + -30 + 14 + 3x + x + 0.5x = 180

Combine like terms: -218 + -30 = -248
-248 + 14 + 3x + x + 0.5x = 180

Combine like terms: -248 + 14 = -234
-234 + 3x + x + 0.5x = 180

Combine like terms: 3x + x = 4x
-234 + 4x + 0.5x = 180

Combine like terms: 4x + 0.5x = 4.5x
-234 + 4.5x = 180

Solving
-234 + 4.5x = 180

Solving for variable 'x'.

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

Add '234' to each side of the equation.
-234 + 234 + 4.5x = 180 + 234

Combine like terms: -234 + 234 = 0
0 + 4.5x = 180 + 234
4.5x = 180 + 234

Combine like terms: 180 + 234 = 414
4.5x = 414

Divide each side by '4.5'.
x = 92

Simplifying
x = 92

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