x+(x+5)+3(x+4)=67

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Solution for x+(x+5)+3(x+4)=67 equation:


Simplifying
x + (x + 5) + 3(x + 4) = 67

Reorder the terms:
x + (5 + x) + 3(x + 4) = 67

Remove parenthesis around (5 + x)
x + 5 + x + 3(x + 4) = 67

Reorder the terms:
x + 5 + x + 3(4 + x) = 67
x + 5 + x + (4 * 3 + x * 3) = 67
x + 5 + x + (12 + 3x) = 67

Reorder the terms:
5 + 12 + x + x + 3x = 67

Combine like terms: 5 + 12 = 17
17 + x + x + 3x = 67

Combine like terms: x + x = 2x
17 + 2x + 3x = 67

Combine like terms: 2x + 3x = 5x
17 + 5x = 67

Solving
17 + 5x = 67

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 5x = 67 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 67 + -17
5x = 67 + -17

Combine like terms: 67 + -17 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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