(5x-2)+(2x+6)=67

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Solution for (5x-2)+(2x+6)=67 equation:


Simplifying
(5x + -2) + (2x + 6) = 67

Reorder the terms:
(-2 + 5x) + (2x + 6) = 67

Remove parenthesis around (-2 + 5x)
-2 + 5x + (2x + 6) = 67

Reorder the terms:
-2 + 5x + (6 + 2x) = 67

Remove parenthesis around (6 + 2x)
-2 + 5x + 6 + 2x = 67

Reorder the terms:
-2 + 6 + 5x + 2x = 67

Combine like terms: -2 + 6 = 4
4 + 5x + 2x = 67

Combine like terms: 5x + 2x = 7x
4 + 7x = 67

Solving
4 + 7x = 67

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 67 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 67 + -4
7x = 67 + -4

Combine like terms: 67 + -4 = 63
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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