x+(3x-1)+(.5x+14)=67

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Solution for x+(3x-1)+(.5x+14)=67 equation:


Simplifying
x + (3x + -1) + (0.5x + 14) = 67

Reorder the terms:
x + (-1 + 3x) + (0.5x + 14) = 67

Remove parenthesis around (-1 + 3x)
x + -1 + 3x + (0.5x + 14) = 67

Reorder the terms:
x + -1 + 3x + (14 + 0.5x) = 67

Remove parenthesis around (14 + 0.5x)
x + -1 + 3x + 14 + 0.5x = 67

Reorder the terms:
-1 + 14 + x + 3x + 0.5x = 67

Combine like terms: -1 + 14 = 13
13 + x + 3x + 0.5x = 67

Combine like terms: x + 3x = 4x
13 + 4x + 0.5x = 67

Combine like terms: 4x + 0.5x = 4.5x
13 + 4.5x = 67

Solving
13 + 4.5x = 67

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 4.5x = 67 + -13

Combine like terms: 13 + -13 = 0
0 + 4.5x = 67 + -13
4.5x = 67 + -13

Combine like terms: 67 + -13 = 54
4.5x = 54

Divide each side by '4.5'.
x = 12

Simplifying
x = 12

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