x+(x+38)+(3x-40)=768

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Solution for x+(x+38)+(3x-40)=768 equation:


Simplifying
x + (x + 38) + (3x + -40) = 768

Reorder the terms:
x + (38 + x) + (3x + -40) = 768

Remove parenthesis around (38 + x)
x + 38 + x + (3x + -40) = 768

Reorder the terms:
x + 38 + x + (-40 + 3x) = 768

Remove parenthesis around (-40 + 3x)
x + 38 + x + -40 + 3x = 768

Reorder the terms:
38 + -40 + x + x + 3x = 768

Combine like terms: 38 + -40 = -2
-2 + x + x + 3x = 768

Combine like terms: x + x = 2x
-2 + 2x + 3x = 768

Combine like terms: 2x + 3x = 5x
-2 + 5x = 768

Solving
-2 + 5x = 768

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 768 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 768 + 2
5x = 768 + 2

Combine like terms: 768 + 2 = 770
5x = 770

Divide each side by '5'.
x = 154

Simplifying
x = 154

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