x+(x*0.5)+(x+6)=258

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Solution for x+(x*0.5)+(x+6)=258 equation:


Simplifying
x + (x * 0.5) + (x + 6) = 258

Reorder the terms for easier multiplication:
x + (0.5x) + (x + 6) = 258

Reorder the terms:
x + (0.5x) + (6 + x) = 258

Remove parenthesis around (6 + x)
x + (0.5x) + 6 + x = 258

Reorder the terms:
6 + x + (0.5x) + x = 258

Combine like terms: x + (0.5x) = 1.5x
6 + 1.5x + x = 258

Combine like terms: 1.5x + x = 2.5x
6 + 2.5x = 258

Solving
6 + 2.5x = 258

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2.5x = 258 + -6

Combine like terms: 6 + -6 = 0
0 + 2.5x = 258 + -6
2.5x = 258 + -6

Combine like terms: 258 + -6 = 252
2.5x = 252

Divide each side by '2.5'.
x = 100.8

Simplifying
x = 100.8

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