2x+(x-1)+2x+(2x-3)+x=76

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Solution for 2x+(x-1)+2x+(2x-3)+x=76 equation:


Simplifying
2x + (x + -1) + 2x + (2x + -3) + x = 76

Reorder the terms:
2x + (-1 + x) + 2x + (2x + -3) + x = 76

Remove parenthesis around (-1 + x)
2x + -1 + x + 2x + (2x + -3) + x = 76

Reorder the terms:
2x + -1 + x + 2x + (-3 + 2x) + x = 76

Remove parenthesis around (-3 + 2x)
2x + -1 + x + 2x + -3 + 2x + x = 76

Reorder the terms:
-1 + -3 + 2x + x + 2x + 2x + x = 76

Combine like terms: -1 + -3 = -4
-4 + 2x + x + 2x + 2x + x = 76

Combine like terms: 2x + x = 3x
-4 + 3x + 2x + 2x + x = 76

Combine like terms: 3x + 2x = 5x
-4 + 5x + 2x + x = 76

Combine like terms: 5x + 2x = 7x
-4 + 7x + x = 76

Combine like terms: 7x + x = 8x
-4 + 8x = 76

Solving
-4 + 8x = 76

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 + 8x = 76 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 76 + 4
8x = 76 + 4

Combine like terms: 76 + 4 = 80
8x = 80

Divide each side by '8'.
x = 10

Simplifying
x = 10

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