x+(3x-22)=100

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Solution for x+(3x-22)=100 equation:


Simplifying
x + (3x + -22) = 100

Reorder the terms:
x + (-22 + 3x) = 100

Remove parenthesis around (-22 + 3x)
x + -22 + 3x = 100

Reorder the terms:
-22 + x + 3x = 100

Combine like terms: x + 3x = 4x
-22 + 4x = 100

Solving
-22 + 4x = 100

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 4x = 100 + 22

Combine like terms: -22 + 22 = 0
0 + 4x = 100 + 22
4x = 100 + 22

Combine like terms: 100 + 22 = 122
4x = 122

Divide each side by '4'.
x = 30.5

Simplifying
x = 30.5

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