x+(x+22)+(2x-40)=778

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Solution for x+(x+22)+(2x-40)=778 equation:


Simplifying
x + (x + 22) + (2x + -40) = 778

Reorder the terms:
x + (22 + x) + (2x + -40) = 778

Remove parenthesis around (22 + x)
x + 22 + x + (2x + -40) = 778

Reorder the terms:
x + 22 + x + (-40 + 2x) = 778

Remove parenthesis around (-40 + 2x)
x + 22 + x + -40 + 2x = 778

Reorder the terms:
22 + -40 + x + x + 2x = 778

Combine like terms: 22 + -40 = -18
-18 + x + x + 2x = 778

Combine like terms: x + x = 2x
-18 + 2x + 2x = 778

Combine like terms: 2x + 2x = 4x
-18 + 4x = 778

Solving
-18 + 4x = 778

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 4x = 778 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 778 + 18
4x = 778 + 18

Combine like terms: 778 + 18 = 796
4x = 796

Divide each side by '4'.
x = 199

Simplifying
x = 199

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